Q. 23 In Problems 9鈥�24, use the foll... [FREE SOLUTION]

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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 23 (page 756)

In Problems 9鈥�24, use the following matrices to evaluate the given expression.
$A = [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}]; B = [\begin{matrix} 4 & 1 & 0 \\ - 2 & 3 & - 2 \end{matrix}]; C = [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}]$
role="math" localid="1647450119627" $C A - C B$

Short Answer

Expert verified

The evaluation of the expression $C A - C B$ is $[\begin{matrix} - 13 & 7 & - 12 \\ - 18 & 10 & - 14 \\ 17 & - 7 & 34 \end{matrix}]$

Step by step solution

Step 1. Given Information

The matrices:

$A = [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}]; B = [\begin{matrix} 4 & 1 & 0 \\ - 2 & 3 & - 2 \end{matrix}]; C = [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}]$

Step 2. Find CA

$C A = [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}] [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}] = [\begin{matrix} 4 (0) + 1 (1) & 4 (3) + 1 (2) & 4 (- 5) + 1 (6) \\ 6 (0) + 2 (1) & 6 (3) + 2 (2) & 6 (- 5) + 2 (6) \\ - 2 (0) + 3 (1) & - 2 (3) + 3 (2) & - 2 (- 5) + 3 (6) \end{matrix}] = [\begin{matrix} 1 & 14 & - 14 \\ 2 & 22 & - 18 \\ 3 & 0 & 28 \end{matrix}]$

Step 3. Find CB

$C B = [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}] [\begin{matrix} 4 & 1 & 0 \\ - 2 & 3 & - 2 \end{matrix}] = [\begin{matrix} 4 (4) + 1 (- 2) & 4 (1) + 1 (3) & 4 (0) + 1 (- 2) \\ 6 (4) + 2 (- 2) & 6 (1) + 2 (3) & 6 (0) + 2 (- 2) \\ - 2 (4) + 3 (- 2) & - 2 (1) + 3 (3) & - 2 (0) + 3 (- 2) \end{matrix}] = [\begin{matrix} 14 & 7 & - 2 \\ 20 & 12 & - 4 \\ - 14 & 7 & - 6 \end{matrix}]$

Step 4. Find the resultant matrix

$C A - C B = [\begin{matrix} 1 & 14 & - 14 \\ 2 & 22 & - 18 \\ 3 & 0 & 28 \end{matrix}] - [\begin{matrix} 14 & 7 & - 2 \\ 20 & 12 & - 4 \\ - 14 & 7 & - 6 \end{matrix}] = [\begin{matrix} - 13 & 7 & - 12 \\ - 18 & 10 & - 14 \\ 17 & - 7 & 34 \end{matrix}]$

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91影视

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find CA

Step 3. Find CB

Step 4. Find the resultant matrix

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91影视

In Problems 9鈥�24, use the following matrices to evaluate the given expression.A=03-5126;B=410-23-2;C=4162-23role="math" localid="1647450119627" CA-CB

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find CA

Step 3. Find CB

Step 4. Find the resultant matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Geometry

Probability and Statistics

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.