Q. 21 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. 21 (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="1647448713874" $A C - 3 I_{2}$

Short Answer

Expert verified

The evaluation of the expression $A C - 3 I_{2}$ is $[\begin{matrix} 25 & - 9 \\ 4 & 20 \end{matrix}]$

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 AC

$A C = [\begin{matrix} 0 & 3 & - 5 \\ 1 & 2 & 6 \end{matrix}] [\begin{matrix} 4 & 1 \\ 6 & 2 \\ - 2 & 3 \end{matrix}] = [\begin{matrix} 0 (4) + 3 (6) + - 5 (- 2) & 0 (1) + 3 (2) + - 5 (3) \\ 1 (4) + 2 (6) + 6 (- 2) & 1 (1) + 2 (2) + 6 (3) \end{matrix}] = [\begin{matrix} 28 & - 9 \\ 4 & 23 \end{matrix}]$

Step 3. Find 3I2

$3 I_{2} = 3 [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}] = [\begin{matrix} 3 & 0 \\ 0 & 3 \end{matrix}]$

Step 4. Find the resultant matrix

$A C - 3 I_{2} = [\begin{matrix} 28 & - 9 \\ 4 & 23 \end{matrix}] - [\begin{matrix} 3 & 0 \\ 0 & 3 \end{matrix}] = [\begin{matrix} 25 & - 9 \\ 4 & 20 \end{matrix}]$

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91影视

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find AC

Step 3. Find 3I2

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="1647448713874" AC-3I2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find AC

Step 3. Find 3I2

Step 4. Find the resultant matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Pure Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.