Question

Given a matrix A such that
\[A = \left[\begin{matrix}5 & -1 & 3 \\ -4 & 3 & -6 \\ -3 & 1 & 2\end{matrix}\right]\]

I am asked to compute:\[A-5I_3\]

Now, since I_3 is the identity matrix, it looks like this right?: \[\left[\begin{matrix}5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5\end{matrix}\right]\]

Answer 1

\[\left[\begin{matrix}0 & -1 & 3 \\ -4 & -2 & -6 \\ -3 & 1 & -3\end{matrix}\right]\] should be my solution right?

Answer 2

Looks good to me.

Answer 3

Great, thanks!

Answer 4

You're welcome.