Compute the products in Exercises 1–4 using (a)

Chapter 1, Problem 1E

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QUESTION:

Compute the products in Exercises 1–4 using (a) the definition, as in Example 1, and (b) the row–vector rule for computing Ax. If a product is undefined, explain why.

\(\left[\begin{array}{rr} -4 & 2 \\ 1 & 6 \\ 0 & 1 \end{array}\right]\left[\begin{array}{r} 3 \\ -2 \\ 7 \end{array}\right]\)

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QUESTION:

Compute the products in Exercises 1–4 using (a) the definition, as in Example 1, and (b) the row–vector rule for computing Ax. If a product is undefined, explain why.

\(\left[\begin{array}{rr} -4 & 2 \\ 1 & 6 \\ 0 & 1 \end{array}\right]\left[\begin{array}{r} 3 \\ -2 \\ 7 \end{array}\right]\)

ANSWER:

Solution

Step 1

In this problem we need to compute the product Ax.

Given:

To find: Ax

We know that

That is is defined only if the number of columns of A match with the number of entries in .

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