A is a 8x6 matrixThe nullspace of A is a subspace of R" where n =What is the largest the rank of A could be?What is the smallest the rank of A could be?What is the largest the nullity of A could be?What is the smallest the nullity of A could be?

A is a 8×6 matrix We use Rank -Nullity Theorem If A is matrix m×n⇒rankA+nullityA=n

Answered: A is a 8x6 matrix The nullspace of A is…

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 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...

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Find the bases for the four fundamental subspaces of the matrix. A=[010030101].
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Show that the matrix below does not have an LU factorization. A=0110
Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and nullity of AB. b Show that matrices A and B must be identical.

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A is a 8x6 matrix The nullspace of A is a subspace of R" where n = What is the largest the rank of A could be? What is the smallest the rank of A could be? What is the largest the nullity of A could be? What is the smallest the nullity of A could be?