Q. 382 In the following exercise, perfo... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 4: Q. 382 (page 482)

In the following exercise, perform the indicated operations on the augmented matrices.
$[\begin{array}{l} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$
鈸� Interchange rows $2$ and $1$ .
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 augmented matrix is $[\begin{array}{l} 3 & 2 & 1 \\ 4 & - 6 & - 3 \end{array}]$

Part b. The required augmented matrix is $[\begin{array}{l} 16 & - 24 & - 12 \\ 3 & 2 & 1 \end{array}]$

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

Step by step solution

Part (a) Step 1. Finding the augmented matrix

In the given augmented matrix $[\begin{array}{l} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$ , we interchange rows $2$ and $1$ and we get the new matrix as

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

Part (b) Step 1. Finding the augmented matrix

In the given augmented matrix $[\begin{array}{l} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$ we need to multiply $4$ in row $1$ and we get the new matrix as

localid="1644748289542" $[\begin{array}{l} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}] \overset{4 R_{1}}{鈫�} [\begin{array}{l} 4 路 4 & - 6 路 4 & - 3 路 4 \\ 3 & 2 & 1 \end{array}] \overset{4 R_{1}}{鈫�} [\begin{array}{l} 16 & - 24 & - 12 \\ 3 & 2 & 1 \end{array}]$

Part (c) Step 1. Find the augmented matrix

For the given augmented matrix $[\begin{array}{l} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$ , the objective is to multiply row $2$ by $3$ and add to row $1$ . So by performing the operation we get

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

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91影视

In the following exercise, perform the indicated operations on the augmented matrices.
$[\begin{array}{l} 4 & - 6 & - 3 \\ 3 & 2 & 1 \end{array}]$
鈸� Interchange rows $2$ and $1$ .
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. Finding the augmented matrix

Part (b) Step 1. Finding the augmented matrix

Part (c) Step 1. Find the augmented matrix

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91影视

In the following exercise, perform the indicated operations on the augmented matrices.4-6-3321鈸� Interchange rows 2and 1.鈸� Multiply row 1by 4.鈸� Multiply row 2by 3and add to row 1.

Short Answer

Step by step solution

Part (a) Step 1. Finding the augmented matrix

Part (b) Step 1. Finding the augmented matrix

Part (c) Step 1. Find the augmented matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Mechanics Maths

Decision Maths

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

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