Suppose that A is a matrix with rank 5. If we know that null(A) has dimension 4, and col(A) is a subspace of R³, then what are 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 a matrix with rank 5.
If we know that null(A) has dimension 4, and col(A) is a subspace of R³,
then what are the dimensions of A?
A has
rows and
columns.
Transcribed Image Text:Suppose that A is a matrix with rank 5. If we know that null(A) has dimension 4, and col(A) is a subspace of R³, then what are the dimensions of A? A has rows and columns.
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