Q 205 Use Row Operations on a MatrixIn... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 4: Q 205 (page 443)

Use Row Operations on a Matrix
In the following exercises, perform the indicated operations on the augmented matrices.
$[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$
鈸� Interchange rows $1$ and $2$
鈸� Multiply row $1$ by $4$
鈸� Multiply row $2$ by $3$ and add to row $1$ .

Short Answer

Expert verified

Part (a) The required matrix is $[\begin{array}{r} 3 & 2 & 1 \\ 4 & - 6 & - 3 \end{array}]$

Part (b) The required matrix is $[\begin{array}{l} 12 & 8 & 4 \\ 3 & 2 & 1 \end{array}]$

Part (c) The required matrix is $[\begin{array}{l} 13 & 0 & 0 \\ 3 & 2 & 1 \end{array}]$

Step by step solution

Part (a) Step 1. Explanation

A matrix is given as $[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$

Apply given operation as-

$[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}] \overset{R_{1} 鈫� R_{2}}{鉄�} [\begin{array}{r} 3 & 2 & 1 \\ 4 & - 6 & - 3 \end{array}]$

Part (b) Step 1. Explanation

A matrix is given as $[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$

Apply given operation as-

$[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}] \overset{4 R_{1}}{鉄�} [\begin{array}{l} 4 脳 3 & 4 脳 2 & 4 脳 1 \\ 3 & 2 & 1 \end{array}] \overset{4 R_{1}}{鉄�} [\begin{array}{l} 12 & 8 & 4 \\ 3 & 2 & 1 \end{array}]$

Part (c) Step 1. Explanation

A matrix is given as $[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$

Apply given operation as-

$[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}] \overset{3 R_{2} + R_{1}}{鉄�} [\begin{matrix} (3 脳 3) + 4 & (3 脳 2) - 6 & (3 脳 1) - 3 \\ 3 & 2 & 1 \end{matrix}] \overset{- 2 R_{2} + R_{1}}{鉄�} [\begin{array}{l} 13 & 0 & 0 \\ 3 & 2 & 1 \end{array}]$

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

Use Row Operations on a Matrix
In the following exercises, perform the indicated operations on the augmented matrices.
$[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$
鈸� Interchange rows $1$ and $2$
鈸� Multiply row $1$ by $4$
鈸� Multiply row $2$ by $3$ and add to row $1$ .

Short Answer

Step by step solution

Part (a) Step 1. Explanation

Part (b) Step 1. Explanation

Part (c) Step 1. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

91影视

Use Row Operations on a MatrixIn the following exercises, perform the indicated operations on the augmented matrices.4-6-3321鈸� Interchange rows 1and 2鈸� Multiply row 1by 4鈸� Multiply row 2by 3 and add to row 1.

Short Answer

Step by step solution

Part (a) Step 1. Explanation

Part (b) Step 1. Explanation

Part (c) Step 1. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Use Row Operations on a Matrix
In the following exercises, perform the indicated operations on the augmented matrices.
$[\begin{array}{r} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$
鈸� Interchange rows $1$ and $2$
鈸� Multiply row $1$ by $4$
鈸� Multiply row $2$ by $3$ and add to row $1$ .