Answer: Exercises 27 and 28 prove special cases of the
Chapter 2, Problem 28E(choose chapter or problem)
Exercises 27 and 28 prove special cases of the facts about elementary matrices stated in the box following Example 5. Here A is a 3 × 3 matrix and I = I3. (A general proof would require slightly more notation.)Suppose row 2 of A is replaced by row2. (A) – 3. row1 (A). Show that the result is EA, where E is formed from I by replacing row2 (I) by row2. (I) – 3 row1 (A)Example 5:Let Compute E1A, E2A, and E3A, and describe how these products can be obtained by elementary row operations on A.
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