# Math Help - Linear algebra questions

 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 Linear algebra Solve Using a Matrix by Elimination -3x+y-z=-2 , -3x+z=4 , y-5z=0 , , Linear algebra Solve Using a Matrix by Row Operations 1/2x-y=-3 , 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 Linear algebra Solve Using a Matrix by Row Operations x+3y-z=4 , 3y-z=0 , x-y+5z=0 , , Linear algebra Simplify the Matrix (1,0m^3n^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 Linear algebra Find the Cube Roots of a Complex Number 1+i Linear algebra Solve Using a Matrix by Row Operations x-y=9 , x+y=6 , Linear algebra Find the Inverse [[0,-1,4],[6,0,-2],[1,0,0]] 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 Linear algebra Find the Cube Roots of a Complex Number 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]]} 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 Linear algebra Solve using Gaussian Elimination x+y+z=6 2x-y-z=3 x+2y+2z=0 Linear algebra Solve using Gaussian Elimination x+y+z=-6 2x+y-z=-1 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 Linear algebra Simplify the Matrix 5 cube root of 1,250+7 cube root of 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 Linear algebra Simplify the Matrix (f(x+h)-f(x))/h , h!=0 , Linear algebra Find Reduced Row Echelon Form [[-1,0,-2,x_1],[2,3,-1,x_2],[0,-1,-3,x_3]] Linear algebra Solve using Gaussian Elimination 2x+6y+z=7 x+2y-z=-1 5x+7y-4z=9 Linear algebra Solve using Gaussian Elimination 3x-12y+15z=10 -4x+16y-20z=-12 Linear algebra Simplify the Matrix (7^2*7^8)/(7^4)=(7^a)/(7^4)=7^b Linear algebra Solve using Gaussian Elimination 5x+2y+z=-11 2x-3y-z=17 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 Linear algebra Find the Cube Roots of a Complex Number 27i Linear algebra Simplify the Matrix [[2],[-6]]-[[-3],[2]]+[[6],[0]] Linear algebra Find the Square Roots of a Complex Number 4i Linear algebra Solve Using an Augmented Matrix 2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z Linear algebra Find the Square Roots of a Complex Number 3(cos(pi)+isin(pi)) Linear algebra Solve the Matrix Equation x=[[0,2,4,6],[0,3,6,9],[0,4,8,12]] Linear algebra Simplify the Matrix ([(1,4-0,2)*3,2])÷1 , 5 , Linear algebra Determine if Linearly Dependent [[1,2,1],[8,1,10],[6,2,5]] Linear algebra Find the Square Roots of a Complex Number 4+4i Linear algebra Find the Square Roots of a Complex Number -4-4i Linear algebra Solve using Gaussian Elimination 9x_2-7x_3=2 -x_3=-2 -3x_1+6x_2+8x_3=1 Linear algebra Find the Fourth Roots of a Complex Number 8(cos(pi/2)+isin(pi/2)) Linear algebra Simplify the Matrix (2x+10)/(x^2+x-2)+2/(x+2)+x/(x-1) , x!=-2 , 1 , , Linear algebra Find the Cube Roots of a Complex Number -3+4i Linear algebra Simplify the Matrix [[0,0],[0,0]]-[[x,y],[z,w]] Linear algebra Find the Square Roots of a Complex Number -3+3 square root of 3i Linear algebra Simplify the Matrix x>=0 : square root of 5x( square root of 8x^2-2 square root of x) : Linear algebra Simplify the Matrix p(x):|1+2x|=7 q(x):|x-3|=1-x Linear algebra Simplify the Matrix (a^3b^-2)/(ab^-4) , a!=0 , b!=0 , , Linear algebra Solve using Gaussian Elimination x+y+z=7 x-y+2z=7 2x+3z=14 Linear algebra Solve using Gaussian Elimination x+2y=5 2x+3y=6 Linear algebra Find the Norm [[3,6,0,9,8,7]] Linear algebra Simplify the Matrix ([(1,4-0,2)*3,2])÷1 , 5 , Linear algebra Solve using Gaussian Elimination 3x_1-2x_2=28 2x_1+3x_2=-3 Linear algebra Solve using Gaussian Elimination 3x-5y+z=14 2x+3y-4z=20 5x-y+2z=7 Linear algebra Find the Norm [[2],[4],[5],[6],[7]] Linear algebra Simplify the Matrix p(x):3x/2+3|x-2|<=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 Linear algebra Simplify the Matrix log of a+2 log of b-1/2 log of 9c^2 for a , b , c>0 for , , ? Linear algebra Simplify the Matrix square root of 27 , square root of 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 Linear algebra Simplify the Matrix What is B if A=[[3,-2],[1,-4]] and AB=[[-4,-6],[2,-12]] ? What is if and ? Linear algebra Solve using Gaussian Elimination 3x-3y-6z=3 2x-3y-5z=8 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 Linear algebra Simplify the Matrix (m^7n^3)/(mn^-1) , m!=0 , n!=0 , , Linear algebra Solve the Matrix Equation [[12,6],[2y-1,-1.5]]=[[12,6],[-8,-1.5]] 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 Linear algebra Solve using Gaussian Elimination x-y+2z=2 2y-4z=8 -x+4z=-10 Linear algebra Simplify the Matrix -2u[[7u,3w^2,5u,5]] Linear algebra Simplify the Matrix (-5w^4y^-2)/(-15w^-6y^2) , w!=0 , y!=0 , , Linear algebra Solve using Gaussian Elimination 2x+3y-z=2 3x+5y+z=4 Linear algebra Solve using Gaussian Elimination x+3y+6z=19 2x-3y+3z=2 Linear algebra Solve using Gaussian Elimination x+2y+z=10 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 Linear algebra Solve using Gaussian Elimination 2x+3y-z=2 3x+5y+z=5 Linear algebra Simplify the Matrix (1,4-0,2) , 2 , Linear algebra Solve using Gaussian Elimination 2x+5y-z=2 3x+8y+z=4 Linear algebra Simplify the Matrix fourth root of 32 , fourth root of 162 , Linear algebra Simplify the Matrix (3x^2)(-2x^4)=3(-2)x^(2*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)]] Linear algebra Write as a Vector Equality x=x^2+9x+3 , x=x+2 , Linear algebra Find the 5x5 Identity Matrix 5 Linear algebra Solve Using an Inverse Matrix 4x+2=5y-3 , y=3x-1 , Linear algebra Evaluate cube root of 216 Linear algebra Find the Power Set (1,3) Linear algebra Determine if Linearly Dependent B={[[-1,2],[0,-2.5]]} Linear algebra Find the Determinant [[0,-1,a],[3,-a,1],[1,-2,3]] Linear algebra Find the Determinant [[7,5,0],[4,5,8],[0,-1,5]] Linear algebra Find the Inverse [[1,2,3],[2,5,7],[3,7,9]] Linear algebra Find Reduced Row Echelon Form [[7,8]] Linear algebra Find the Domain 7 fourth root of 567y^4 Linear algebra Evaluate square root of 4 Linear algebra Solve Using an Inverse Matrix -3x-4y=2 , 8y=-6x-4 , Linear algebra Solve Using an Inverse Matrix 2x-5y=4 , 3x-2y=-5 , Linear algebra Solve Using an Inverse Matrix x+3y=-6 , 3x+2y=3 , Linear algebra Find the Result of 3 Times the 3x3 Identity Matrix 3 Linear algebra Find the 7x7 Identity Matrix 7 Linear algebra Find the 9x9 Identity Matrix 9 Linear algebra Solve Using an Inverse Matrix x-y=7 , x-y=5 , Linear algebra Solve Using an Inverse Matrix x+y=48 , x=8y , Linear algebra Solve Using an Inverse Matrix x+y=6 , 2x-3y=2 , Linear algebra Solve Using an Inverse Matrix x+y=6 , x-y=2 , Linear algebra Solve Using an Inverse Matrix x-3z=-2 , 2x+2y+z=4 , 3x+y-2z=5 , , Linear algebra Solve Using an Inverse Matrix y=3.2+x , 7.1-x=7.2y , Linear algebra