Exercise 3.4. Consider the matrix A = -1 3 2 2 -2 6 4 -2 (a) Give a general expression for all vectors in the range of A. What is the rank of A? (b) Using part (a), give a nonzero vector b for which Ax b is compatible. = (c) Give a vector b such that Ax b is not compatible, and explain how you found b.

Exercise 3.4. Consider the matrix A = -1 3 2 2 -2 6 4 -2 (a) Give a general expression for all vectors in the range of A. What is the rank of A? (b) Using part (a), give a nonzero vector b for which Ax b is compatible. = (c) Give a vector b such that Ax b is not compatible, and explain how you found b.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...

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