## Related questions with answers

Question

If possible, compute the matrix products using paper and pencil.

$\begin{bmatrix} 1 & 0 & -1\\0 & 1 & 1 \\ 1 & -1 & -2 \end{bmatrix} \begin{bmatrix} 1 & 2 & 3\\ 3 & 2 & 1\\ 2 & 1 & 3 \end{bmatrix}$

Solution

VerifiedStep 1

1 of 3Let us consider

$A=\begin{bmatrix} 1 &0 &-1\\ 0& 1 &1\\ 1 & -1&-2 \end{bmatrix}$

and

$B=\begin{bmatrix} 1 &2& 3\\ 3 &2& 1\\ 2 &1& 3 \end{bmatrix}$

. Clearly $A$ and $B$ are both $3\times 3$ matrix and so number of columns in $A$ is equal to number of rows in $B$. Thus matrix multiplication $AB$ is defined.

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