Use the fact that matrices A and B are row-equivalent.-2 -58 0 -171 3-5 1A =-5 -913 7 -671.7 -13 5-31 01 010 1 -2 03B =0 00 1 -50 o 0 0(a) Find the rank and nullity of A.rank3nullity

Suppose A is an mxn matrix then Rank(A)+Nullity(A)=m.

Answered: Use the fact that matrices A and B are…

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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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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Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 3 -5 1 A = = -5 -9 13 7 -67 1. 7 -13 5 -3 1 0 1 0 1 0 1 -2 0 B = 0 0 0 1 -5 0 o 0 0 (a) Find the rank and nullity of A. rank 3 nullity