Given two matrices A = \(\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}\) and B = \(\begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}\), find the result of A - B.
Answer
Step 3: Simplify the resulting matrix to get \(\begin{pmatrix} -4 & -4 \\ -4 & -4 \end{pmatrix}\)
Step 1 ：Step 1: Write down the matrices A and B. A = \(\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}\), B = \(\begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}\)
Step 2 ：Step 2: Subtract the corresponding elements of matrix B from matrix A. The (i, j)th element of the resulting matrix will be the (i, j)th element of A minus the (i, j)th element of B. This gives us \(\begin{pmatrix} 1-5 & 2-6 \\ 3-7 & 4-8 \end{pmatrix}\)
Step 3 ：Step 3: Simplify the resulting matrix to get \(\begin{pmatrix} -4 & -4 \\ -4 & -4 \end{pmatrix}\)
