Math Problem Solver - Linear algebra examples
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 algebraFind the Cube Roots of a Complex Number
-8i
Linear algebraSolve using Gaussian Elimination
3x+2y+z=1 5x+3y+4z=2 x+y-z=1
Linear algebraSolve Using a Matrix by Elimination
-3x+y-z=-2 , -3x+z=4 , y-5z=0
Linear algebraSimplify the Matrix
R=[[3,2],[-1,0]] , S=[[-2,1],[1,-1]]
Linear algebraSolve Using a Matrix by Row Operations
x+2y-z=4 , 2x+y+z=-2 , x+2y+z=2
Linear algebraSolve Using a Matrix by Row Operations
1/2x-y=-3 , 9x-y=1
Linear algebraSolve 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 algebraSimplify the Matrix
square root of 50x^2 = square root of 25*2*x^2=5x square root of b
Linear algebraSolve Using a Matrix by Row Operations
x+3y-z=4 , 3y-z=0 , x-y+5z=0
Linear algebraSimplify the Matrix
(1,0m^3n^12)
Linear algebraSolve 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 algebraFind the Cube Roots of a Complex Number
1+i
Linear algebraSimplify the Matrix
Find RS if R=[[3,2],[-1,0]] , S=[[-2,1],[1,-1]]
Linear algebraSolve Using a Matrix by Row Operations
x-y=9 , x+y=6
Linear algebraFind the Inverse
[[0,-1,4],[6,0,-2],[1,0,0]]
Linear algebraSolve 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 algebraFind the Cube Roots of a Complex Number
8i
Linear algebraFind the Null Space
S={[[2],[-1],[3],[1],[2]],[[1],[2],[-1],[5],[2]],[[2],[1],[-3],[6],[1]]}
Linear algebraSolve using Gaussian Elimination
9x_1+9x_2-7x_3=6 -7x_1-x_3=-10 9x_1+6x_2+8x_3=45
Linear algebraFind 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 algebraSolve 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 algebraSolve using Gaussian Elimination
x+3y-4z=2 3x+10y-12z=8 9x+28y-36z=20
Linear algebraSolve using Gaussian Elimination
x+y+z=6 2x-y-z=3 x+2y+2z=0
Linear algebraSolve using Gaussian Elimination
x+y+z=-6 2x+y-z=-1 x-2y+3z=-6
Linear algebraSolve 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 algebraSolve using Gaussian Elimination
-2x_1+x_2+6x_3=18 5x_1+8x_3=-16 3x_1+2x_2-10x_3=-3
Linear algebraSimplify the Matrix
5 cube root of 1,250+7 cube root of 270
Linear algebraSolve the Matrix Equation
[[32,10],[3/5,1/8]]*F=[[-80,80],[1,2]]
Linear algebraSimplify 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 algebraSolve the Matrix Equation
[[1/9,6],[1/3,27]]*B=[[-10,7],[-48,30]]
Linear algebraSimplify the Matrix
(f(x+h)-f(x))/h , h!=0
Linear algebraFind Reduced Row Echelon Form
[[-1,0,-2,x_1],[2,3,-1,x_2],[0,-1,-3,x_3]]
Linear algebraSolve using Gaussian Elimination
2x+6y+z=7 x+2y-z=-1 5x+7y-4z=9
Linear algebraSolve using Gaussian Elimination
3x-12y+15z=10 -4x+16y-20z=-12
Linear algebraSimplify the Matrix
(7^2*7^8)/(7^4)=(7^a)/(7^4)=7^b
Linear algebraSolve using Gaussian Elimination
5x+2y+z=-11 2x-3y-z=17 7x-y=12
Linear algebraSolve 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 algebraFind the Cube Roots of a Complex Number
27i
Linear algebraSolve using Gaussian Elimination
x_1+2x_2-4x_3=4 -2x_1-4x_2+8x_3=-8
Linear algebraSimplify the Matrix
[[2],[-6]]-[[-3],[2]]+[[6],[0]]
Linear algebraSolve using Gaussian Elimination
x+4y=4 2x+9y=11 5x+24y=32
Linear algebraSolve using Gaussian Elimination
3x+y-z=5 x+2y=8 y-2z=-5
Linear algebraFind the Square Roots of a Complex Number
4i
Linear algebraSolve using Gaussian Elimination
4x-3y+z=-8 -2x+y-3z=-4 x-y+2z=3
Linear algebraFind the Cube Roots of a Complex Number
125i
Linear algebraSolve Using an Augmented Matrix
2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z
Linear algebraSolve Using an Augmented Matrix
-2x_1-6x_2-3x_3=9 -x_1+x_2-x_3=1 x_1-x_2+2x_3=2
Linear algebraFind Reduced Row Echelon Form
[[0,1,-2,1,1,5],[-2,3,-6,0,6,9],[1,1,-2,0,2,3]]
Linear algebraFind the Square Roots of a Complex Number
3(cos(pi)+isin(pi))
Linear algebraFind the Fourth Roots of a Complex Number
-4-4i
Linear algebraSolve the Matrix Equation
x=[[0,2,4,6],[0,3,6,9],[0,4,8,12]]
Linear algebraFind the Square Roots of a Complex Number
-3+4i
Linear algebraFind the Fourth Roots of a Complex Number
3(cos(pi)+isin(pi))
Linear algebraSimplify the Matrix
([(1,4-0,2)*3,2])÷1 , 5
Linear algebraFind the Cube Roots of a Complex Number
3(cos(pi)+isin(pi))
Linear algebraDetermine if Linearly Dependent
B={[[-1],[4],[7]],[[6],[-5],[8]],[[1],[5],[9]]}
Linear algebraDetermine if Linearly Dependent
[[2],[-1],[4],[1],[2]] , [[1],[2],[-1],[5],[2]] , [[2],[1],[-3],[6],[1]]
Linear algebraSimplify the Matrix
x/a+x/b=c , a!=0 , b!=0 , a!=-b
Linear algebraSimplify the Matrix
square root of 2 , square root of 8
Linear algebraDetermine if Linearly Dependent
[[1,2,1],[3,-1,0],[6,-2,0]]
Linear algebraDetermine if Linearly Dependent
[[-1,6,1],[4,-5,5],[7,8,9]]
Linear algebraFind the Norm
[[4],[0],[4],[5],[6],[7],[8]]
Linear algebraDetermine if Linearly Dependent
[[-1],[4],[7]] , [[6],[-5],[8]] , [[1],[5],[9]]
Linear algebraSolve using Gaussian Elimination
2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z
Linear algebraDetermine if Linearly Dependent
[[1,2,1],[8,1,10],[6,2,5]]
Linear algebraSolve Using an Augmented Matrix
3x-5y+z=14 2x+3y-4z=20 5x-y+2z=7
Linear algebraFind the Square Roots of a Complex Number
4+4i
Linear algebraFind the Square Roots of a Complex Number
8(cos(pi/2)+isin(pi/2))
Linear algebraFind the Square Roots of a Complex Number
-4-4i
Linear algebraSimplify the Matrix
((10x^3y^2)/(5x^-3y^4))^-3 , x!=0 , y!=0
Linear algebraFind the Norm
[[4],[0],[4],[5],[6]]
Linear algebraFind the Cube Roots of a Complex Number
8(cos(pi/2)+isin(pi/2))
Linear algebraSimplify the Matrix
M=((x^5)^0x^8(x^2)^3)/((x*x)^5) , x!=0
Linear algebraSimplify the Matrix
cube root of 3 , cube root of 24
Linear algebraSimplify the Matrix
((a^2b^-3)/(a^-2b^2))^2 , a!=0 , b!=0
Linear algebraSimplify the Matrix
p(x):|5x+1|=-6 q(x):|x-1/2|=2
Linear algebraSolve using Gaussian Elimination
9x_2-7x_3=2 -x_3=-2 -3x_1+6x_2+8x_3=1
Linear algebraFind the Fourth Roots of a Complex Number
8(cos(pi/2)+isin(pi/2))
Linear algebraSimplify the Matrix
(2x+10)/(x^2+x-2)+2/(x+2)+x/(x-1) , x!=-2 , 1
Linear algebraSolve Using an Inverse Matrix
x+y+z+t=4 , 2x-y-z-t=-1 , x+y-2z=0 , 3x+3t=6
Linear algebraFind the Cube Roots of a Complex Number
-3+4i
Linear algebraSimplify the Matrix
[[0,0],[0,0]]-[[x,y],[z,w]]
Linear algebraFind the Square Roots of a Complex Number
-3+3 square root of 3i
Linear algebraSolve using Gaussian Elimination
x_1-3x_2+5x_3=18 2x_1+3x_2-4x_3=-5 x_1-x_2+2x_3=9
Linear algebraSimplify the Matrix
Given (x+5)/(x-1) if x<=-3 4x+9 if x>-3 ; what is 2(g(3))+g(-4) ?
Linear algebraSimplify the Matrix
x>=0 : square root of 5x( square root of 8x^2-2 square root of x)
Linear algebraSimplify the Matrix
p(x):|1+2x|=7 q(x):|x-3|=1-x
Linear algebraFind the Square Roots of a Complex Number
5+2i
Linear algebraSimplify the Matrix
(a^3b^-2)/(ab^-4) , a!=0 , b!=0
Linear algebraFind the Cube Roots of a Complex Number
-4-4i
Linear algebraSimplify the Matrix
(3a^2b^-4)/(12a^-2b^-2) , a!=0 , b!=0
Linear algebraSolve using Gaussian Elimination
x+y+z=7 x-y+2z=7 2x+3z=14
Linear algebraSolve using Gaussian Elimination
2x-4y=4 x-2y=2
Linear algebraSimplify the Matrix
Find DE_ifD=[[-2,4,6],[5,-7,-1]] and E=[[1,-2],[0,4],[-3,4]]
Linear algebraSolve using Gaussian Elimination
x+2y=5 2x+3y=6
Linear algebraSimplify the Matrix
(3x^2)/(x^2-25)-x/(x+5)+2/(x-5) , x!=-5 , 5
Linear algebraFind the Norm
[[3,6,0,9,8,7]]
Linear algebraFind the Fourth Roots of a Complex Number
-3+4i
Linear algebraSimplify the Matrix
(xy^-6)/(x^-4y^2) , x!=0 , y!=0
Linear algebra