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Q17E

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Found in: Page 35

### Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

# Compute the products Ax in Exercises 16 through 19using paper and pencil (if the products are defined).17.$\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right]\mathbf{.}\left[\begin{array}{c}7\\ 8\end{array}\right]$

The dot product of $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right].\left[\begin{array}{c}7\\ 8\end{array}\right]$ is not defined

See the step by step solution

## Step 1:

For the first matrix, $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right]$

The number of columns m = 3

For the second matrix $\left[\begin{array}{c}7\\ 8\end{array}\right]$

The number of rows n = 2 n = 2

Therefore, we have mn.

Hence, dot product is not possible.

The dot product of $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right].\left[\begin{array}{c}7\\ 8\end{array}\right]$ is not defined