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Use Row Operations on a Matrix In the following exercises, perform the indicated operations on the augmented matrices .

Perform the needed row operations that will get the first entry in both row 2and row 3to be zero in the augmented matrix:

1-23-43-1-252-3-4-1

Short Answer

Expert verified

The required matrix is1-23-405-111701-107

Step by step solution

01

Step 1. Given Information

A matrix is given as1-23-43-1-252-3-4-1

02

Step 2. Explanation 

A matrix is given as 1-23-43-1-252-3-4-1

Apply given operation as-

1-23-43-1-252-3-4-1โ†’-2R1+R3-3R3+R21-23-4(-3ร—1)+3(-3(-2))-1(-3ร—3)-2(-3(-4))+5(-2ร—1)+2(-2(-2))-3(-2ร—3)-4(-2(-4))-1โ†’-2R1+R3-3R1+R21-23-405-111701-107

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