2. Write down the elementary 3 x 3 matrices associated with the following row operations, as well as their inverses: (a) switch the 1st and 2nd row; (b) add to the 2nd row the 3rd row multiplied by 4; (c) multiply the 2nd row by -2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
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2. Write down the elementary 3 x 3 matrices associated with the following
row operations, as well as their inverses:
(a) switch the 1st and 2nd row;
(b) add to the 2nd row the 3rd row multiplied by 4;
(c) multiply the 2nd row by -2.
Transcribed Image Text:2. Write down the elementary 3 x 3 matrices associated with the following row operations, as well as their inverses: (a) switch the 1st and 2nd row; (b) add to the 2nd row the 3rd row multiplied by 4; (c) multiply the 2nd row by -2.
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