Suppose that A is an n x m matrix of rank 3, the nullity of A is 3, and the column space of A is a subspace of R*. Find the dimensions of A. A has rows and columns.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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Suppose that A is an n x m matrix of rank 3, the nullity of A is 3, and the column space of A is a subspace of R. Find the dimensions of A.
A has
rows and
columns.
Transcribed Image Text:6 Suppose that A is an n x m matrix of rank 3, the nullity of A is 3, and the column space of A is a subspace of R. Find the dimensions of A. A has rows and columns.
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