Question

In Exploration 2.4.1 you were asked to find the inverse of a matrix. Now consider this matrix ? 1 -1 2 | 1 0 0 ? | 2 0 3 | 0 1 0 | ? 0 1 -1 | 0 0 1 ? . Select two steps that result in the following matrix: ? 1 -1 2 | 1 0 0 ? | 0 1 0 | -2 1 -1 | ? 0 1 -1 | 0 0 1 ? . ? Step 1: R2 ? R2 - 2 Step 2: R3 ? -R3 ? Step 1: R2 ? R2 - 2R3 Step 2: R2 ? R2 - R1 ? Step 1: R3 ? R3 - 2R1 Step 2: R3 ? R3 - R2 ? Step 1: R2 ? R2 - 2R1 Step 2: R2 ? R2 - R3 ? Step 1: R2 ? R2 - R1 Step 2: R2 ? R2 - R1

          In Exploration 2.4.1 you were asked to find the inverse of a matrix.
Now consider this matrix ? 1 -1 2 | 1 0 0 ?
| 2 0 3 | 0 1 0 |
? 0 1 -1 | 0 0 1 ? . Select two steps that result
in the following matrix: ? 1 -1 2 | 1 0 0 ?
| 0 1 0 | -2 1 -1 |
? 0 1 -1 | 0 0 1 ? .
? Step 1: R2 ? R2 - 2
Step 2: R3 ? -R3
? Step 1: R2 ? R2 - 2R3
Step 2: R2 ? R2 - R1
? Step 1: R3 ? R3 - 2R1
Step 2: R3 ? R3 - R2
? Step 1: R2 ? R2 - 2R1
Step 2: R2 ? R2 - R3
? Step 1: R2 ? R2 - R1
Step 2: R2 ? R2 - R1

In Exploration 2.4.1 you were asked to find the inverse of a matrix.
Now consider this matrix ? 1 -1 2 | 1 0 0 ?
| 2 0 3 | 0 1 0 |
? 0 1 -1 | 0 0 1 ? . Select two steps that result
in the following matrix: ? 1 -1 2 | 1 0 0 ?
| 0 1 0 | -2 1 -1 |
? 0 1 -1 | 0 0 1 ? .
? Step 1: R2 ? R2 - 2
Step 2: R3 ? -R3
? Step 1: R2 ? R2 - 2R3
Step 2: R2 ? R2 - R1
? Step 1: R3 ? R3 - 2R1
Step 2: R3 ? R3 - R2
? Step 1: R2 ? R2 - 2R1
Step 2: R2 ? R2 - R3
? Step 1: R2 ? R2 - R1
Step 2: R2 ? R2 - R1

Added by Mark A.

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