Given: for any m x n matrix A, the row space of A is the orthogonal complement of the null space of A. Demonstrate that the linear transformation T: Row A --> Col A defined by T(vectorx) = Avectorx is bijective

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
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Given: for any m x n matrix A, the row space of A is the orthogonal complement of the null space of A. Demonstrate that the linear transformation T: Row A --> Col A defined by T(vectorx) = Avectorx is bijective

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