Problem

Given matrices A = \( \begin{bmatrix} 2 & 3\\ 4 & -1 \end{bmatrix} \) and B = \( \begin{bmatrix} 1 & 5\\ -2 & 3 \end{bmatrix} \), find the matrix (2A - 3B).

Answer

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Answer

Step 3: Subtract 3B from 2A. The result is \( \begin{bmatrix} 1 & -9\\ 14 & -11 \end{bmatrix} \)

Steps

Step 1 ：Step 1: Calculate 2A. The result is \( \begin{bmatrix} 4 & 6\\ 8 & -2 \end{bmatrix} \)

Step 2 ：Step 2: Calculate 3B. The result is \( \begin{bmatrix} 3 & 15\\ -6 & 9 \end{bmatrix} \)

Step 3 ：Step 3: Subtract 3B from 2A. The result is \( \begin{bmatrix} 1 & -9\\ 14 & -11 \end{bmatrix} \)

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