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one matrix can be written in the form A = vw². 8.16. (a) Let A be an m x n matrix and let M = (Ab) be the augmented matrix for the linear sustom Av CI

one matrix can be written in the form A = vw². 8.16. (a) Let A be an m x n matrix and let M = (Ab) be the augmented matrix for the linear sustom Av CI

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
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one matrix can be written in the form A = vw². 1.8.16. (a) Let A be an m x n matrix and let M = (A | b) be the augmented matrix for the linear system Ax= b. Show that either (i) rank A = 1 rank M, or (ii) rank A = rank M (b) Prove that the system is compatible if and only if case (i) holds. www. 1.
Transcribed Image Text:one matrix can be written in the form A = vw². 1.8.16. (a) Let A be an m x n matrix and let M = (A | b) be the augmented matrix for the linear system Ax= b. Show that either (i) rank A = 1 rank M, or (ii) rank A = rank M (b) Prove that the system is compatible if and only if case (i) holds. www. 1.
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