Chapter 4: Q. 4.80 (page 437)

Perform the needed row operation that will get the first entry in row $2$ to be zero in the augmented matrix:role="math" localid="1644471362101" $[\begin{array}{r} 1 & - 1 & 3 \\ - 2 & - 3 & 2 \end{array}]$

Short Answer

Expert verified

Multiply row $1$ by $2$ and add it to row $2$ .

$[\begin{array}{r} 1 & - 1 & 3 \\ 0 & - 5 & 8 \end{array}]$

Step by step solution

Step 1. Given Information.

Given augmented matrix is $[\begin{array}{r} 1 & - 1 & 3 \\ - 2 & - 3 & 2 \end{array}]$

Step 2. Making first entry in row 2 to zero.

To make the $- 2$ to $0$ , we could multiply row $1$ by $2$ and then add it to row $2$ .

$[\begin{array}{r} 1 & - 1 & 3 \\ - 2 & - 3 & 2 \end{array}] \overset{2 R_{1} + R_{2}}{\to} [\begin{array}{r} 1 & - 1 & 3 \\ 0 & - 5 & 8 \end{array}]$

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Perform the needed row operation that will get the first entry in row $2$ to be zero in the augmented matrix:role="math" localid="1644471362101" $[\begin{array}{r} 1 & - 1 & 3 \\ - 2 & - 3 & 2 \end{array}]$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Making first entry in row 2 to zero.

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Perform the needed row operation that will get the first entry in row 2to be zero in the augmented matrix:role="math" localid="1644471362101" 1-13-2-32

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Making first entry in row 2 to zero.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Theoretical and Mathematical Physics

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Decision Maths

Study anywhere. Anytime. Across all devices.

Perform the needed row operation that will get the first entry in row $2$ to be zero in the augmented matrix:role="math" localid="1644471362101" $[\begin{array}{r} 1 & - 1 & 3 \\ - 2 & - 3 & 2 \end{array}]$