Question

Where possible, find the product: begin{bmatrix}2 & 3 &-1&6 0 & 5 &4&1 end{bmatrix} begin{bmatrix}1 & 3 0 & 2 end{bmatrix}

Matrices
ANSWERED
asked 2020-12-30
Where possible, find the product:
\(\begin{bmatrix}2 & 3 &-1&6 \\ 0 & 5 &4&1 \end{bmatrix} \begin{bmatrix}1 & 3 \\0 & 2 \end{bmatrix}\)

Answers (1)

2020-12-31
Step 1
Known facts:
Let A be \(m \times n\) matrix and B be \(p \times q\) matrix then the product of these two matrices are defined only when n=p.
That is, Product of two matrices A and B is defined only when number of columns of A is equal to number of rows of B.
Step 2
Note that given matrices order are \(2 \times 4\) and \(2 \times 2\). Clearly, \(4 \neq 2\).
By the above known fact, the product \(\begin{bmatrix}2 & 3 &-1&6 \\ 0 & 5 &4&1 \end{bmatrix} \begin{bmatrix}1 & 3 \\0 & 2 \end{bmatrix}\) is not possible
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