Suppose that A is a 4 x 8 matrix that has an echelon form with no zero rows. Find the dimension of the column space of A, and the dimension of the null space of A. The dimension of the column space of A is 4 The dimension of the null space of A is 4

Suppose that A is a 4 x 8 matrix that has an echelon form with no zero rows. Find the dimension of the column space of A, and the dimension of the null space of A. The dimension of the column space of A is 4 The dimension of the null space of A is 4

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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Question

Suppose that A is a 4 x 8 matrix that has an echelon form with no zero rows. Find the dimension of the column space of A, and the dimension
of the null space of A.
The dimension of the column space of A is 4
The dimension of the null space of A is 4

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