## Related questions with answers

Question

Mark True or False. Justify the answer. If A and B are $3 \times 3$ and $B=\left[\mathbf{b}_{1} \mathbf{b}_{2} \mathbf{b}_{3}\right]$, then $AB=\left[A \mathbf{b}_{1}+A \mathbf{b}_{2}+A \mathbf{b}_{3}\right]$.

Solutions

VerifiedSolution A

Solution B

Answered 1 year ago

Step 1

1 of 4To answer whether the given statement is true or false, we must first recall how we calculate the product of the matrices $A$ and $B$ if the matrix $B$ is decomposed into columns $b_1$, $b_2$, and $b_3$.

Answered 2 years ago

Step 1

1 of 2$ False, because AB=[Ab_1 Ab_2 Ab_3], the columns of the product are not added as suggested in the question . $

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