Q. 24 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. 24 (page 756)

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

Short Answer

Expert verified

The evaluation of the expression $A C + B C$ is $[\begin{matrix} 50 & - 3 \\ 18 & 21 \end{matrix}]$

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 BC

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

Step 4. Find the resultant matrix

$A C + B C = [\begin{matrix} 28 & - 9 \\ 4 & 23 \end{matrix}] + [\begin{matrix} 22 & 6 \\ 14 & - 2 \end{matrix}] = [\begin{matrix} 50 & - 3 \\ 18 & 21 \end{matrix}]$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find AC

Step 3. Find BC

Step 4. Find the resultant matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Pure Maths

Mechanics Maths

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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=4162-23AC+BC

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find AC

Step 3. Find BC

Step 4. Find the resultant matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Pure Maths

Mechanics Maths

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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