Exercise 1.1.15

Question

If $A=C R$, the first row of $A$ is a combination of the rows of $R$. Which part of which matrix holds the coefficients in that combination-the numbers that multiply the rows of $R$ to produce row 1 of $A$?

Neil Z. · Accepted Answer

If $A=CR$, the first row of $A$ is a combination of the rows of
$R$, each element of the first row in $C$ corresponds to the
coefficient to each row in $R$. That is, $C_{11}$ multiply row 1 of
$R$, $C_{12}$ multiply row 2 of $R$, etc. and the sum of these
products are the first row of $A$.

Exercise 1.1.15

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Exercise 1.1.15

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