Problem

Let $A=\left[\begin{array}{cc}-7 & 2 \\ -3 & 5\end{array}\right]$ and $B=\left[\begin{array}{cc}7 & 0 \\ 4 & -3\end{array}\right]$
Find $A-B$.
\[
A-B=
\]

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{A-B=\left[\begin{array}{cc}-14 & 2 \ -7 & 8\end{array}\right]}\)

Steps

Step 1 :Let \(A=\left[\begin{array}{cc}-7 & 2 \ -3 & 5\end{array}\right]\) and \(B=\left[\begin{array}{cc}7 & 0 \ 4 & -3\end{array}\right]\)

Step 2 :We need to find \(A-B\)

Step 3 :Subtracting the corresponding elements in matrices A and B, we get \(A-B=\left[\begin{array}{cc}-14 & 2 \ -7 & 8\end{array}\right]\)

Step 4 :\(\boxed{A-B=\left[\begin{array}{cc}-14 & 2 \ -7 & 8\end{array}\right]}\)

link_gpt