What is the solution of the matrix equation?
[9 4] [-9 -6]
X=
[2 1] [-1 -8]

Question

What is the solution of the matrix equation?
[9  4]                  [-9  -6]
                X=   
[2  1]                  [-1  -8]

amistre64 · Answer

if the left matrix is invertible ....

amistre64 · Answer

otherwise you can create a system of equation and solve the usual way

amistre64 · Answer

since the determinant is 1,  the inverse is just a matter of swapping corners and negating the others .... visually that is.

anonymous · Answer

@amistre64 so i just swap the numbers?

amistre64 · Answer

there is a visual memorization for 2x2 matrix inverting.  swap out topleft and bottomright corners

negate the other 2

divide all elements by the determinant

amistre64 · Answer

the proper algorithm for an inverse has to do with submatrix determinants, transposing, and such ...

amistre64 · Answer

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