In Exercises 9 - 16, find the following matrices: d. - 3A + 2B

Guida verificata passo dopo passo

Step 1: Identify the matrices A and B from the problem. Matrix A is \( \begin{bmatrix} 1 & 3 \\ 3 & 4 \\ 5 & 6 \end{bmatrix} \) and matrix B is \( \begin{bmatrix} 2 & -1 \\ 3 & -2 \\ 0 & 1 \end{bmatrix} \).

Step 2: Multiply matrix A by -3. This means multiplying each element of matrix A by -3, resulting in a new matrix \( -3A \).

Step 3: Multiply matrix B by 2. This means multiplying each element of matrix B by 2, resulting in a new matrix \( 2B \).

Step 4: Add the two resulting matrices from Step 2 and Step 3 element-wise. That is, add corresponding elements from \( -3A \) and \( 2B \) to get the matrix \( -3A + 2B \).

Step 5: Verify that the resulting matrix has the same dimensions as the original matrices (3 rows and 2 columns) and write the final matrix as the answer.

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