Multiply matrix A by matrix B. A = [[2, 3], [2, -1]], B = [[2, 5, -4], [3, 2, 6]]

May 21, 2026Mathematics

ScanSolve AI Answer

May 21, 2026

Answer

\begin{bmatrix} 2 & 3 \ 2 & -1 \end{bmatrix}$$

To find the product of matrices $A$ and $B$ , we perform matrix multiplication.

Given matrices: $A = \begin{bmatrix} 2 & 3 \\ 2 & -1 \end{bmatrix}$ $B = \begin{bmatrix} 2 & 5 & -4 \\ 3 & 2 & 6 \end{bmatrix}$

Step 1: Determine the dimensions of the resulting matrix. Matrix $A$ has dimensions $2 \times 2$ . Matrix $B$ has dimensions $2 \times 3$ . Since the number of columns in $A$ (2) equals the number of rows in $B$ (2), the product $AB$ is defined and will have dimensions $2 \times 3$ .

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To find the product of matrices A and B, we perform matrix multiplication. Given matrices: A = 2 & 3 \\ 2 & -1 B = 2 & 5 & -4 \\ 3 & 2 & 6 Step 1: Determine the dimensions of the resulting matrix.

Asked on May 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 21, 2026

To find the product of matrices A and B, we perform matrix multiplication. Given matrices: A = 2 & 3 \\ 2 & -1 B = 2 & 5 & -4 \\ 3 & 2 & 6 Step 1: Determine the dimensions of the resulting matrix. Matrix A has dimensions 2 × 2. Matrix B has dimensions 2 × 3. Since the number of columns in A (2) equals the number of rows in B (2), the product AB is defined and will have dimensions 2 × 3.