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Solve using Gaussian Elimination	x_1-2x_2+3x_3=11 4x_1+x_2-x_3=4 2x_1-x_2+3x_3=10	${\displaystyle x_1-2x_2+3x_3=11}$ ${\displaystyle 4x_1+x_2-x_3=4}$ ${\displaystyle 2x_1-x_2+3x_3=10}$	Linear algebra
Solve Using a Matrix by Elimination	-3x+y-z=-2 , -3x+z=4 , y-5z=0	${\displaystyle -3x+y-z=-2}$ , ${\displaystyle -3x+z=4}$ , ${\displaystyle y-5z=0}$	Linear algebra
Solve Using a Matrix by Row Operations	1/2x-y=-3 , 9x-y=1	${\displaystyle \frac{1}{2}x-y=-3}$ , ${\displaystyle 9x-y=1}$	Linear algebra
Solve using Gaussian Elimination	3x_1+6x_2-6x_3=9 2x_1-5x_2+4x_3=6 -x_1+16x_2-14x_3=-3	${\displaystyle 3x_1+6x_2-6x_3=9}$ ${\displaystyle 2x_1-5x_2+4x_3=6}$ ${\displaystyle -x_1+16x_2-14x_3=-3}$	Linear algebra
Solve Using a Matrix by Row Operations	x+3y-z=4 , 3y-z=0 , x-y+5z=0	${\displaystyle x+3y-z=4}$ , ${\displaystyle 3y-z=0}$ , ${\displaystyle x-y+5z=0}$	Linear algebra
Simplify the Matrix	(1,0m^3n^12)	${\displaystyle (1,0m^3{n}^{12})}$	Linear algebra
Solve using Gaussian Elimination	2x_1+4x_2+6x_3=18 4x_1+5x_2-6x_3=24 2x_1+x_2-12x_3=6	${\displaystyle 2x_1+4x_2+6x_3=18}$ ${\displaystyle 4x_1+5x_2-6x_3=24}$ ${\displaystyle 2x_1+x_2-12x_3=6}$	Linear algebra
Find the Cube Roots of a Complex Number	1+i	${\displaystyle 1+i}$	Linear algebra
Solve Using a Matrix by Row Operations	x-y=9 , x+y=6	${\displaystyle x-y=9}$ , ${\displaystyle x+y=6}$	Linear algebra
Find the Inverse	[[0,-1,4],[6,0,-2],[1,0,0]]	${\displaystyle \left[\begin{array}{ccc}0& -1& 4\\ 6& 0& -2\\ 1& 0& 0\end{array}\right]}$	Linear algebra
Solve using Gaussian Elimination	x_1+x_2-x_3=7 4x_1-x_2+5x_3=4 2x_1+2x_2-3x_3=0	${\displaystyle x_1+x_2-x_3=7}$ ${\displaystyle 4x_1-x_2+5x_3=4}$ ${\displaystyle 2x_1+2x_2-3x_3=0}$	Linear algebra
Find the Cube Roots of a Complex Number	8i	${\displaystyle 8i}$	Linear algebra
Find the Null Space	S={[[2],[-1],[3],[1],[0],[3]],[[9],[-6],[-2],[3],[2],[1]],[[1],[1],[1],[0],[0],[1]],[[-3],[1],[4],[2],[1],[2]]}	${\displaystyle S=\{\left[\begin{array}{c}2\\ -1\\ 3\\ 1\\ 0\\ 3\end{array}\right],\left[\begin{array}{c}9\\ -6\\ -2\\ 3\\ 2\\ 1\end{array}\right],\left[\begin{array}{c}1\\ 1\\ 1\\ 0\\ 0\\ 1\end{array}\right],\left[\begin{array}{c}-3\\ 1\\ 4\\ 2\\ 1\\ 2\end{array}\right]\}}$	Linear algebra
Solve using Gaussian Elimination	-2x_1-6x_2-3x_3=9 -x_1+x_2-x_3=1 x_1-x_2+2x_3=2	${\displaystyle -2x_1-6x_2-3x_3=9}$ ${\displaystyle -x_1+x_2-x_3=1}$ ${\displaystyle x_1-x_2+2x_3=2}$	Linear algebra
Solve using Gaussian Elimination	x+y+z=6 2x-y-z=3 x+2y+2z=0	${\displaystyle x+y+z=6}$ ${\displaystyle 2x-y-z=3}$ ${\displaystyle x+2y+2z=0}$	Linear algebra
Solve using Gaussian Elimination	x+y+z=-6 2x+y-z=-1 x-2y+3z=-6	${\displaystyle x+y+z=-6}$ ${\displaystyle 2x+y-z=-1}$ ${\displaystyle x-2y+3z=-6}$	Linear algebra
Solve using Gaussian Elimination	3x_1+6x_2-6x_3=9 2x_1-5x_2+4x_3=6 5x_1+28x_2-26x_3=-8	${\displaystyle 3x_1+6x_2-6x_3=9}$ ${\displaystyle 2x_1-5x_2+4x_3=6}$ ${\displaystyle 5x_1+28x_2-26x_3=-8}$	Linear algebra
Simplify the Matrix	5 cube root of 1,250+7 cube root of 270	${\displaystyle 5\sqrt[3]{1,250}+7\sqrt[3]{270}}$	Linear algebra
Simplify the Matrix	square root of x^12y^9z^5 = square root of x^12*y^8*y*z^4*z=x^ay^bz^c square root of yz	${\displaystyle \sqrt{x^{12}{y}^9{z}^5}=\sqrt{x^{12}\cdot y^8\cdot y\cdot z^4\cdot z}=x^a{y}^b{z}^c\sqrt{yz}}$	Linear algebra
Simplify the Matrix	(f(x+h)-f(x))/h , h!=0	${\displaystyle \frac{f(x+h)-f\left(x\right)}{h}}$ , ${\displaystyle h\ne 0}$	Linear algebra
Find Reduced Row Echelon Form	[[-1,0,-2,x_1],[2,3,-1,x_2],[0,-1,-3,x_3]]	${\displaystyle \left[\begin{array}{cccc}-1& 0& -2& x_1\\ 2& 3& -1& x_2\\ 0& -1& -3& x_3\end{array}\right]}$	Linear algebra
Solve using Gaussian Elimination	2x+6y+z=7 x+2y-z=-1 5x+7y-4z=9	${\displaystyle 2x+6y+z=7}$ ${\displaystyle x+2y-z=-1}$ ${\displaystyle 5x+7y-4z=9}$	Linear algebra
Solve using Gaussian Elimination	3x-12y+15z=10 -4x+16y-20z=-12	${\displaystyle 3x-12y+15z=10}$ ${\displaystyle -4x+16y-20z=-12}$	Linear algebra
Simplify the Matrix	(7^2*7^8)/(7^4)=(7^a)/(7^4)=7^b	${\displaystyle \frac{7^2\cdot 7^8}{7^4}=\frac{7^a}{7^4}=7^b}$	Linear algebra
Solve using Gaussian Elimination	5x+2y+z=-11 2x-3y-z=17 7x-y=12	${\displaystyle 5x+2y+z=-11}$ ${\displaystyle 2x-3y-z=17}$ ${\displaystyle 7x-y=12}$	Linear algebra
Solve using Gaussian Elimination	2x_1+4x_2+6x_3=18 4x_1+5x_2-6x_3=24 2x_1+x_2-12x_3=2	${\displaystyle 2x_1+4x_2+6x_3=18}$ ${\displaystyle 4x_1+5x_2-6x_3=24}$ ${\displaystyle 2x_1+x_2-12x_3=2}$	Linear algebra
Find the Cube Roots of a Complex Number	27i	${\displaystyle 27i}$	Linear algebra
Simplify the Matrix	[[2],[-6]]-[[-3],[2]]+[[6],[0]]	${\displaystyle \left[\begin{array}{c}2\\ -6\end{array}\right]-\left[\begin{array}{c}-3\\ 2\end{array}\right]+\left[\begin{array}{c}6\\ 0\end{array}\right]}$	Linear algebra
Find the Square Roots of a Complex Number	4i	${\displaystyle 4i}$	Linear algebra
Solve Using an Augmented Matrix	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	${\displaystyle 2x-3y+z=4}$ ${\displaystyle y-2z+x-5=0}$ ${\displaystyle 3-2x=4y-z}$	Linear algebra
Find the Square Roots of a Complex Number	3(cos(pi)+isin(pi))	${\displaystyle 3(\cos \left(\pi \right)+i\sin \left(\pi \right))}$	Linear algebra
Solve the Matrix Equation	x=[[0,2,4,6],[0,3,6,9],[0,4,8,12]]	${\displaystyle x=\left[\begin{array}{cccc}0& 2& 4& 6\\ 0& 3& 6& 9\\ 0& 4& 8& 12\end{array}\right]}$	Linear algebra
Simplify the Matrix	([(1,4-0,2)*3,2])÷1 , 5	${\displaystyle [(1,4-0,2)\times 3,2]÷1}$ , ${\displaystyle 5}$	Linear algebra
Determine if Linearly Dependent	[[1,2,1],[8,1,10],[6,2,5]]	${\displaystyle \left[\begin{array}{ccc}1& 2& 1\\ 8& 1& 10\\ 6& 2& 5\end{array}\right]}$	Linear algebra
Find the Square Roots of a Complex Number	4+4i	${\displaystyle 4+4i}$	Linear algebra
Find the Square Roots of a Complex Number	-4-4i	${\displaystyle -4-4i}$	Linear algebra
Solve using Gaussian Elimination	9x_2-7x_3=2 -x_3=-2 -3x_1+6x_2+8x_3=1	${\displaystyle 9x_2-7x_3=2}$ ${\displaystyle -x_3=-2}$ ${\displaystyle -3x_1+6x_2+8x_3=1}$	Linear algebra
Find the Fourth Roots of a Complex Number	8(cos(pi/2)+isin(pi/2))	${\displaystyle 8(\cos \left(\frac{\pi }{2}\right)+i\sin \left(\frac{\pi }{2}\right))}$	Linear algebra
Simplify the Matrix	(2x+10)/(x^2+x-2)+2/(x+2)+x/(x-1) , x!=-2 , 1	${\displaystyle \frac{2x+10}{x^2+x-2}+\frac{2}{x+2}+\frac{x}{x-1}}$ , ${\displaystyle x\ne -2}$ , ${\displaystyle 1}$	Linear algebra
Find the Cube Roots of a Complex Number	-3+4i	${\displaystyle -3+4i}$	Linear algebra
Simplify the Matrix	[[0,0],[0,0]]-[[x,y],[z,w]]	${\displaystyle \left[\begin{array}{cc}0& 0\\ 0& 0\end{array}\right]-\left[\begin{array}{cc}x& y\\ z& w\end{array}\right]}$	Linear algebra
Find the Square Roots of a Complex Number	-3+3 square root of 3i	${\displaystyle -3+3\sqrt{3}i}$	Linear algebra
Simplify the Matrix	x>=0 : square root of 5x( square root of 8x^2-2 square root of x)	${\displaystyle x\ge 0}$ : ${\displaystyle \sqrt{5x}(\sqrt{8x^2}-2\sqrt{x})}$	Linear algebra
Simplify the Matrix	p(x):|1+2x|=7 q(x):|x-3|=1-x	${\displaystyle p\left(x\right):|1+2x|=7}$ ${\displaystyle q\left(x\right):|x-3|=1-x}$	Linear algebra
Simplify the Matrix	(a^3b^-2)/(ab^-4) , a!=0 , b!=0	${\displaystyle \frac{a^3{b}^{-2}}{a{b}^{-4}}}$ , ${\displaystyle a\ne 0}$ , ${\displaystyle b\ne 0}$	Linear algebra
Solve using Gaussian Elimination	x+y+z=7 x-y+2z=7 2x+3z=14	${\displaystyle x+y+z=7}$ ${\displaystyle x-y+2z=7}$ ${\displaystyle 2x+3z=14}$	Linear algebra
Solve using Gaussian Elimination	x+2y=5 2x+3y=6	${\displaystyle x+2y=5}$ ${\displaystyle 2x+3y=6}$	Linear algebra
Find the Norm	[[3,6,0,9,8,7]]	${\displaystyle \left[\begin{array}{cccccc}3& 6& 0& 9& 8& 7\end{array}\right]}$	Linear algebra
Simplify the Matrix	([(1,4-0,2)*3,2])÷1 , 5	${\displaystyle [(1,4-0,2)\cdot 3,2]÷1}$ , ${\displaystyle 5}$	Linear algebra
Solve using Gaussian Elimination	3x_1-2x_2=28 2x_1+3x_2=-3	${\displaystyle 3x_1-2x_2=28}$ ${\displaystyle 2x_1+3x_2=-3}$	Linear algebra
Solve using Gaussian Elimination	3x-5y+z=14 2x+3y-4z=20 5x-y+2z=7	${\displaystyle 3x-5y+z=14}$ ${\displaystyle 2x+3y-4z=20}$ ${\displaystyle 5x-y+2z=7}$	Linear algebra
Find the Norm	[[2],[4],[5],[6],[7]]	${\displaystyle \left[\begin{array}{c}2\\ 4\\ 5\\ 6\\ 7\end{array}\right]}$	Linear algebra
Simplify the Matrix	p(x):3x/2+3|x-2|<=3	${\displaystyle p\left(x\right):3\frac{x}{2}+3|x-2|\le 3}$	Linear algebra
Solve using Gaussian Elimination	x_1-3x_2+2x_3=5 2x_1+x_2+4x_3=24 5x_1-3x_2+x_3=-14	${\displaystyle x_1-3x_2+2x_3=5}$ ${\displaystyle 2x_1+x_2+4x_3=24}$ ${\displaystyle 5x_1-3x_2+x_3=-14}$	Linear algebra
Simplify the Matrix	log of a+2 log of b-1/2 log of 9c^2 for a , b , c>0	${\displaystyle \log \left(a\right)+2\log \left(b\right)-\frac{1}{2}\log \left(9c^2\right)}$ for ${\displaystyle a}$ , ${\displaystyle b}$ , ${\displaystyle c>0}$ ?	Linear algebra
Simplify the Matrix	square root of 27 , square root of 75	${\displaystyle \sqrt{27}}$ , ${\displaystyle \sqrt{75}}$	Linear algebra
Solve using Gaussian Elimination	x_1-3x_2+4x_3=7 2x_1+5x_2-x_3=1 3x_1-4x_2+5x_3=18	${\displaystyle x_1-3x_2+4x_3=7}$ ${\displaystyle 2x_1+5x_2-x_3=1}$ ${\displaystyle 3x_1-4x_2+5x_3=18}$	Linear algebra
Simplify the Matrix	What is B if A=[[3,-2],[1,-4]] and AB=[[-4,-6],[2,-12]] ?	What is ${\displaystyle B}$ if ${\displaystyle A=\left[\begin{array}{cc}3& -2\\ 1& -4\end{array}\right]}$ and ${\displaystyle AB=\left[\begin{array}{cc}-4& -6\\ 2& -12\end{array}\right]}$ ?	Linear algebra
Solve using Gaussian Elimination	3x-3y-6z=3 2x-3y-5z=8 x+4y+2z=6	${\displaystyle 3x-3y-6z=3}$ ${\displaystyle 2x-3y-5z=8}$ ${\displaystyle x+4y+2z=6}$	Linear algebra
Solve Using a Matrix by Row Operations	x+y-2z+4t=5 2x+2y-3z+t=3 3x+3y-4z-2t=1	${\displaystyle x+y-2z+4t=5}$ ${\displaystyle 2x+2y-3z+t=3}$ ${\displaystyle 3x+3y-4z-2t=1}$	Linear algebra
Simplify the Matrix	(m^7n^3)/(mn^-1) , m!=0 , n!=0	${\displaystyle \frac{m^7{n}^3}{m{n}^{-1}}}$ , ${\displaystyle m\ne 0}$ , ${\displaystyle n\ne 0}$	Linear algebra
Solve the Matrix Equation	[[12,6],[2y-1,-1.5]]=[[12,6],[-8,-1.5]]	${\displaystyle \left[\begin{array}{cc}12& 6\\ 2y-1& -1.5\end{array}\right]=\left[\begin{array}{cc}12& 6\\ -8& -1.5\end{array}\right]}$	Linear algebra
Solve using Gaussian Elimination	2x_1+3x_2-8x_3=105 -x_1+x_2-x_3=10 8x_1-5x_2+3x_3=-10	${\displaystyle 2x_1+3x_2-8x_3=105}$ ${\displaystyle -x_1+x_2-x_3=10}$ ${\displaystyle 8x_1-5x_2+3x_3=-10}$	Linear algebra
Solve using Gaussian Elimination	x-y+2z=2 2y-4z=8 -x+4z=-10	${\displaystyle x-y+2z=2}$ ${\displaystyle 2y-4z=8}$ ${\displaystyle -x+4z=-10}$	Linear algebra
Simplify the Matrix	-2u[[7u,3w^2,5u,5]]	${\displaystyle -2u\left[\begin{array}{cccc}7u& 3w^2& 5u& 5\end{array}\right]}$	Linear algebra
Simplify the Matrix	(-5w^4y^-2)/(-15w^-6y^2) , w!=0 , y!=0	${\displaystyle \frac{-5w^4{y}^{-2}}{-15w^{-6}{y}^2}}$ , ${\displaystyle w\ne 0}$ , ${\displaystyle y\ne 0}$	Linear algebra
Solve using Gaussian Elimination	2x+3y-z=2 3x+5y+z=4	${\displaystyle 2x+3y-z=2}$ ${\displaystyle 3x+5y+z=4}$	Linear algebra
Solve using Gaussian Elimination	x+3y+6z=19 2x-3y+3z=2	${\displaystyle x+3y+6z=19}$ ${\displaystyle 2x-3y+3z=2}$	Linear algebra
Solve using Gaussian Elimination	x+2y+z=10 3x+7y+6z=36	${\displaystyle x+2y+z=10}$ ${\displaystyle 3x+7y+6z=36}$	Linear algebra
Solve using Gaussian Elimination	3x_1-2x_2+x_3=-1 -x_1-x_2+6x_3=29 5x_1-3x_2-4x_3=-25	${\displaystyle 3x_1-2x_2+x_3=-1}$ ${\displaystyle -x_1-x_2+6x_3=29}$ ${\displaystyle 5x_1-3x_2-4x_3=-25}$	Linear algebra
Solve using Gaussian Elimination	2x+3y-z=2 3x+5y+z=5	${\displaystyle 2x+3y-z=2}$ ${\displaystyle 3x+5y+z=5}$	Linear algebra
Simplify the Matrix	(1,4-0,2) , 2	${\displaystyle (1,4-0,2)}$ , ${\displaystyle 2}$	Linear algebra
Solve using Gaussian Elimination	2x+5y-z=2 3x+8y+z=4	${\displaystyle 2x+5y-z=2}$ ${\displaystyle 3x+8y+z=4}$	Linear algebra
Simplify the Matrix	fourth root of 32 , fourth root of 162	${\displaystyle \sqrt[4]{32}}$ , ${\displaystyle \sqrt[4]{162}}$	Linear algebra
Simplify the Matrix	(3x^2)(-2x^4)=3(-2)x^(2*4)=6x^8	${\displaystyle \left(3x^2\right)(-2x^4)=3(-2)x^{2\cdot 4}=6x^8}$	Linear algebra
Multiply the Matrices	[[1/( square root of 17),-4/( square root of 17)]][[1/( square root of 17)],[-4/( square root of 17)]]	${\displaystyle \left[\begin{array}{cc}\frac{1}{\sqrt{17}}& -\frac{4}{\sqrt{17}}\end{array}\right]\left[\begin{array}{c}\frac{1}{\sqrt{17}}\\ -\frac{4}{\sqrt{17}}\end{array}\right]}$	Linear algebra
Write as a Vector Equality	x=x^2+9x+3 , x=x+2	${\displaystyle x=x^2+9x+3}$ , ${\displaystyle x=x+2}$	Linear algebra
Find the 5x5 Identity Matrix	5	${\displaystyle 5}$	Linear algebra
Solve Using an Inverse Matrix	4x+2=5y-3 , y=3x-1	${\displaystyle 4x+2=5y-3}$ , ${\displaystyle y=3x-1}$	Linear algebra
Evaluate	cube root of 216	${\displaystyle \sqrt[3]{216}}$	Linear algebra
Find the Power Set	(1,3)	${\displaystyle (1,3)}$	Linear algebra
Determine if Linearly Dependent	B={[[-1,2],[0,-2.5]]}	${\displaystyle B=\left\{\left[\begin{array}{cc}-1& 2\\ 0& -2.5\end{array}\right]\right\}}$	Linear algebra
Find the Determinant	[[0,-1,a],[3,-a,1],[1,-2,3]]	${\displaystyle \left[\begin{array}{ccc}0& -1& a\\ 3& -a& 1\\ 1& -2& 3\end{array}\right]}$	Linear algebra
Find the Determinant	[[7,5,0],[4,5,8],[0,-1,5]]	${\displaystyle \left[\begin{array}{ccc}7& 5& 0\\ 4& 5& 8\\ 0& -1& 5\end{array}\right]}$	Linear algebra
Find the Inverse	[[1,2,3],[2,5,7],[3,7,9]]	${\displaystyle \left[\begin{array}{ccc}1& 2& 3\\ 2& 5& 7\\ 3& 7& 9\end{array}\right]}$	Linear algebra
Find Reduced Row Echelon Form	[[7,8]]	${\displaystyle \left[\begin{array}{cc}7& 8\end{array}\right]}$	Linear algebra
Find the Domain	7 fourth root of 567y^4	${\displaystyle 7\sqrt[4]{567}{y}^4}$	Linear algebra
Evaluate	square root of 4	${\displaystyle \sqrt{4}}$	Linear algebra
Solve Using an Inverse Matrix	-3x-4y=2 , 8y=-6x-4	${\displaystyle -3x-4y=2}$ , ${\displaystyle 8y=-6x-4}$	Linear algebra
Solve Using an Inverse Matrix	2x-5y=4 , 3x-2y=-5	${\displaystyle 2x-5y=4}$ , ${\displaystyle 3x-2y=-5}$	Linear algebra
Solve Using an Inverse Matrix	x+3y=-6 , 3x+2y=3	${\displaystyle x+3y=-6}$ , ${\displaystyle 3x+2y=3}$	Linear algebra
Find the Result of 3 Times the 3x3 Identity Matrix	3	${\displaystyle 3}$	Linear algebra
Find the 7x7 Identity Matrix	7	${\displaystyle 7}$	Linear algebra
Find the 9x9 Identity Matrix	9	${\displaystyle 9}$	Linear algebra
Solve Using an Inverse Matrix	x-y=7 , x-y=5	${\displaystyle x-y=7}$ , ${\displaystyle x-y=5}$	Linear algebra
Solve Using an Inverse Matrix	x+y=48 , x=8y	${\displaystyle x+y=48}$ , ${\displaystyle x=8y}$	Linear algebra
Solve Using an Inverse Matrix	x+y=6 , 2x-3y=2	${\displaystyle x+y=6}$ , ${\displaystyle 2x-3y=2}$	Linear algebra
Solve Using an Inverse Matrix	x+y=6 , x-y=2	${\displaystyle x+y=6}$ , ${\displaystyle x-y=2}$	Linear algebra
Solve Using an Inverse Matrix	x-3z=-2 , 2x+2y+z=4 , 3x+y-2z=5	${\displaystyle x-3z=-2}$ , ${\displaystyle 2x+2y+z=4}$ , ${\displaystyle 3x+y-2z=5}$	Linear algebra
Solve Using an Inverse Matrix	y=3.2+x , 7.1-x=7.2y	${\displaystyle y=3.2+x}$ , ${\displaystyle 7.1-x=7.2y}$	Linear algebra