Matrices A and B are shown below.

A= -2 3 B= 5 -4
0 -1 -2 -4

3 answers

It looks like you have provided two matrices \( A \) and \( B \) as follows:

\[ A = \begin{pmatrix} -2 & 3 \ 0 & -1 \end{pmatrix} \]

\[ B = \begin{pmatrix} 5 & -4 \ -2 & -4 \end{pmatrix} \]

Would you like to perform specific operations with these matrices, such as addition, subtraction, multiplication, finding the determinant, or something else? Please let me know!

Which matrix represents the sum of A and B

To find the sum of matrices \( A \) and \( B \), you simply add the corresponding elements of each matrix.

Given:

\[ A = \begin{pmatrix} -2 & 3 \ 0 & -1 \end{pmatrix} \]

\[ B = \begin{pmatrix} 5 & -4 \ -2 & -4 \end{pmatrix} \]

The sum \( C = A + B \) is computed as follows:

\[ C = \begin{pmatrix} -2 + 5 & 3 + (-4) \ 0 + (-2) & -1 + (-4) \end{pmatrix} \]

Calculating each element:

  • First row, first column: \(-2 + 5 = 3\)
  • First row, second column: \(3 - 4 = -1\)
  • Second row, first column: \(0 - 2 = -2\)
  • Second row, second column: \(-1 - 4 = -5\)

Putting it all together, we get:

\[ C = \begin{pmatrix} 3 & -1 \ -2 & -5 \end{pmatrix} \]

So, the sum of matrices \( A \) and \( B \) is:

\[ \begin{pmatrix} 3 & -1 \ -2 & -5 \end{pmatrix} \]