Q16E Compute the products Ax in Exerc... [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: Q16E (page 35)

Compute the products Ax in Exercises 16 through 19
using paper and pencil (if the products are defined).
16.
$[\begin{matrix} 0 & 1 \\ 3 & 2 \end{matrix}] [\begin{matrix} 2 \\ - 3 \end{matrix}]$

Short Answer

Expert verified

The dot product $A x^{鈫�}$ of $[\begin{matrix} 0 & 1 \\ 3 & 2 \end{matrix}] [\begin{matrix} 2 \\ - 3 \end{matrix}]$ is $[\begin{matrix} - 3 \\ 0 \end{matrix}]$

Step by step solution

Step 1:

Find $A x$ in terms of rows of A.

$[\begin{matrix} 0 & 1 \\ 3 & 2 \end{matrix}] . [\begin{matrix} 2 \\ - 3 \end{matrix}]$

$鈬� [\begin{matrix} (0) (2) + (1) (- 3) \\ (3) (2) + (2) (- 3) \end{matrix}] 鈬� [\begin{matrix} 0 - 3 \\ 6 - 6 \end{matrix}] 鈬� [\begin{matrix} - 3 \\ 0 \end{matrix}]$

Step 2:

Find $A x$ in terms of columns of A.

role="math" localid="1659339166632" $[\begin{matrix} 0 & 1 \\ 3 & 2 \end{matrix}] . [\begin{matrix} 2 \\ - 3 \end{matrix}] 鈬� 2 [\begin{matrix} 0 \\ 3 \end{matrix}] - 3 [\begin{matrix} 1 \\ 2 \end{matrix}] 鈬� [\begin{matrix} 0 \\ 6 \end{matrix}] - [\begin{matrix} 3 \\ 6 \end{matrix}] 鈬� [\begin{matrix} - 3 \\ 0 \end{matrix}]$

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91影视

Compute the products Ax in Exercises 16 through 19
using paper and pencil (if the products are defined).
16.
$[\begin{matrix} 0 & 1 \\ 3 & 2 \end{matrix}] [\begin{matrix} 2 \\ - 3 \end{matrix}]$

Short Answer

Step by step solution

Step 1:

Step 2:

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91影视

Compute the products Ax in Exercises 16 through 19using paper and pencil (if the products are defined).16.01322-3

Short Answer

Step by step solution

Step 1:

Step 2:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Discrete Mathematics

Geometry

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Compute the products Ax in Exercises 16 through 19
using paper and pencil (if the products are defined).
16.
$[\begin{matrix} 0 & 1 \\ 3 & 2 \end{matrix}] [\begin{matrix} 2 \\ - 3 \end{matrix}]$