Exercise 1.2.4

Question

Suppose $B$ has only one column $(p=1)$. So each row of $B$ just has one number. $A$ has columns $a_{1}$ to $a_{n}$ as usual. Write down the column times row formula for $A B$. In words, the $m$ by 1 column vector $A B$ is a combination of the '___'?

Neil Z. · Accepted Answer

If $B$ has only 1 column, $AB=\sum^n_{j=1} a_jb_j$ where $b_j$ is
a number. The $m$ by $1$ column vector $AB$ is a combination of
the columns in $A$.

Exercise 1.2.4

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Exercise 1.2.4

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