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Q17E

Expert-verified

Linear Algebra With Applications

Found in: Page 35

Book edition 5th

Author(s) Otto Bretscher

Pages 442 pages

ISBN 9780321796974

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Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1:

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

The number of columns m = 3

For the second matrix _{$[\begin{matrix} 7 \\ 8 \end{matrix}]$}

The number of rows n = 2 n = 2

Therefore, we have m≠n.

Hence, dot product is not possible.

Step 2: Final answer:

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

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