(1) Express the invertible matrix 121 10 1 1 1 2 as a product of elementary matrices. (2) Prove that all invertible matrices can be written as a product of a sequence of elementary matrices.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 79E
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Problem 2
(1) Express the invertible matrix
(³)
1 0 1
12
as a product of elementary matrices.
(2) Prove that all invertible matrices can be written as a product of a sequence of elementary matrices.
Transcribed Image Text:Problem 2 (1) Express the invertible matrix (³) 1 0 1 12 as a product of elementary matrices. (2) Prove that all invertible matrices can be written as a product of a sequence of elementary matrices.
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