Question

What is the solution of the matrix equation [2 1 -3 -2]X=[-5 2]?
I'll post a picture of the matrix equation in the comments. Please help!

Answer 1

@jim_thompson5910

Answer 2

you need to find the inverse of that 2x2 matrix

Answer 3

do you know how to do that?

Answer 4

Multiply everything by -1?

Answer 5

If

\[\Large X = \begin{bmatrix}
a & b \\
c & d
\end{bmatrix}\]

Then

\[\Large X^{-1} = \frac{1}{ad-bc}\begin{bmatrix}
d & -b \\
-c & a
\end{bmatrix}\]

Answer 6

So the original 2x2 matrix, what are the values of a,b,c,d?

Answer 7

a=2, b=1, c=-3 and d=-2. Now I just plug it in?

Answer 8

correct, let me know what you get for the inverse

Answer 9

not quite

Answer 10

what did you get for the value of ad-bc ?

Answer 11

-1

Answer 12

so 1 over that is -1 as well