Question

(1
6
1
​
)(−
7
5
​
)

Answer 1

To multiply the two given matrices, it's important to understand that you need to follow the rules of matrix multiplication.

If we consider your input, it seems like there are two matrices:

Matrix \( A \):
\[
A = \begin{pmatrix}
1 & 6 \\
1 & 1
\end{pmatrix}
\]

Matrix \( B \):
\[
B = \begin{pmatrix}
-7 & 5 \\
0 & 0
\end{pmatrix}
\]

Now let's perform the multiplication \( AB \):

To find the element in the first row and first column of \( AB \):
\[
(1 \times -7) + (6 \times 0) = -7 + 0 = -7
\]

To find the element in the first row and second column of \( AB \):
\[
(1 \times 5) + (6 \times 0) = 5 + 0 = 5
\]

To find the element in the second row and first column of \( AB \):
\[
(1 \times -7) + (1 \times 0) = -7 + 0 = -7
\]

To find the element in the second row and second column of \( AB \):
\[
(1 \times 5) + (1 \times 0) = 5 + 0 = 5
\]

Putting it all together, the resulting matrix \( AB \) will be:
\[
AB = \begin{pmatrix}
-7 & 5 \\
-7 & 5
\end{pmatrix}
\]