4. Use elementary row and column operations to transform each of the following matrices into a matrix D satisfying the conditions of Theo- rem 3.6, and then determine the rank of each matrix. 1 1 1 2 0 (a) 1 1 - -1 1 222 (b) (3)

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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Section 3.2 Number 4(b) only! And don't worry about the Theorem 3.6

 

4. Use elementary row and column operations to transform each of the
following matrices into a matrix D satisfying the conditions of Theo-
rem 3.6, and then determine the rank of each matrix.
(a)
1 1
2 0
1
-1
1 1
1 2
222
(b)
2
(4)
2 1
2
1
Transcribed Image Text:4. Use elementary row and column operations to transform each of the following matrices into a matrix D satisfying the conditions of Theo- rem 3.6, and then determine the rank of each matrix. (a) 1 1 2 0 1 -1 1 1 1 2 222 (b) 2 (4) 2 1 2 1
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