Given the matrices (A = begin{bmatrix} 3 & 1 end{bmatrix}) and (B = begin{bmatrix} 2 5 end{bmatrix}), find the product of the matrices (A times B).

Question

Given the matrices (A = begin{bmatrix} 3 & 1 end{bmatrix}) and (B = begin{bmatrix} 2  5 end{bmatrix}), find the product of the matrices (A times B).

Accepted Answer

Step:1 ：The product of two matrices is calculated by taking the dot product of each row of the first matrix with each column of the second matrix.Step:2 ：In this case, we only have one row in matrix (A) and one column in matrix (B), so the product is the dot product of these two vectors:Step:3 ：(A times B = begin{bmatrix} 3 & 1 end{bmatrix} times begin{bmatrix} 2  5 end{bmatrix} = (3 times 2) + (1 times 5) = 6 + 5 = 11)

Answer

Step: 1 ：The product of two matrices is calculated by taking the dot product of each row of the first matrix with each column of the second matrix.Step: 2 ：In this case, we only have one row in matrix (A) and one column in matrix (B), so the product is the dot product of these two vectors:Step: 3 ：(A times B = begin{bmatrix} 3 & 1 end{bmatrix} times begin{bmatrix} 2  5 end{bmatrix} = (3 times 2) + (1 times 5) = 6 + 5 = 11)

Given the matrices \(A = \begin{bmatrix} 3 & 1 \end{bmatrix}\) and \(B = \begin{bmatrix} 2 \ 5 \end{bmatrix}\), find the product of the matrices \(A \times B\).

Answer

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