Q. 22 In Problems 9鈥�24, use the foll... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 22 (page 756)

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

Short Answer

Expert verified

The evaluation of the expression $C A + 5 I_{3}$ is $[\begin{matrix} 6 & 14 & - 14 \\ 2 & 27 & - 18 \\ 3 & 0 & 33 \end{matrix}]$

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 5I3

$5 I_{3} = 5 [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}] = [\begin{matrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{matrix}]$

Step 4. Find the resultant matrix

$C A + 5 I_{3} = [\begin{matrix} 1 & 14 & - 14 \\ 2 & 22 & - 18 \\ 3 & 0 & 28 \end{matrix}] + [\begin{matrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{matrix}] = [\begin{matrix} 6 & 14 & - 14 \\ 2 & 27 & - 18 \\ 3 & 0 & 33 \end{matrix}]$

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91影视

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find CA

Step 3. Find 5I3

Step 4. Find the resultant matrix

One App. One Place for Learning.

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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=4162-23CA+5I3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find CA

Step 3. Find 5I3

Step 4. Find the resultant matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Applied Mathematics

Statistics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

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