Q13E Compute the products Ax聽in Exer... [FREE SOLUTION]

91影视

Linear Algebra With Applications

Otto Bretscher

$Math Studyset 91影视 Explanations$ Math

5th Edition 路 442 pages

ISBN: 9780321796974

Chapter 1: Q13E (page 35)

Compute the products Axin Exercises 13 through 15 using
paper and pencil. In each case, compute the product two ways: in terms of the columns of A and in terms of the rows of A.
13.
$[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}] [\begin{matrix} 7 \\ 11 \end{matrix}]$

Short Answer

Expert verified

The dot product $A \overset{鈫�}{x} of [\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}] [\begin{matrix} 7 \\ 11 \end{matrix}] is [\begin{matrix} 29 \\ 65 \end{matrix}]$

Step by step solution

Step 1:

Find $A \overset{鈫�}{x}$ in terms of rows of A.

$[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}] [\begin{matrix} 7 \\ 11 \end{matrix}] 鈬� 7 [\begin{matrix} 1 \\ 3 \end{matrix}] + 11 [\begin{matrix} 2 \\ 4 \end{matrix}] 鈬� [\begin{matrix} 7 \\ 21 \end{matrix}] + [\begin{matrix} 22 \\ 44 \end{matrix}] 鈬� [\begin{matrix} 7 + 22 \\ 21 + 44 \end{matrix}] 鈬� [\begin{matrix} 29 \\ 65 \end{matrix}]$

:

Find $A \overset{鈫�}{x}$ in terms of columns of A.

$[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}] [\begin{matrix} 7 \\ 11 \end{matrix}] 鈬� [\begin{matrix} (1) (7) + (2) (11) \\ (3) (7) + (4) (11) \end{matrix}] 鈬� [\begin{matrix} 7 + 22 \\ 21 + 44 \end{matrix}] 鈬� [\begin{matrix} 29 \\ 65 \end{matrix}]$

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91影视

Compute the products Axin Exercises 13 through 15 using
paper and pencil. In each case, compute the product two ways: in terms of the columns of A and in terms of the rows of A.
13.
$[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}] [\begin{matrix} 7 \\ 11 \end{matrix}]$

Short Answer

Step by step solution

Step 1:

:

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91影视

Compute the products Axin Exercises 13 through 15 usingpaper and pencil. In each case, compute the product two ways: in terms of the columns of A and in terms of the rows of A.13.[1234][711]

Short Answer

Step by step solution

Step 1:

:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Calculus

Discrete Mathematics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Compute the products Axin Exercises 13 through 15 using
paper and pencil. In each case, compute the product two ways: in terms of the columns of A and in terms of the rows of A.
13.
$[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}] [\begin{matrix} 7 \\ 11 \end{matrix}]$