- 10. [H] Let A be a 2 x 2 real matrix such that AX XA for all 2 x 2 real matrices X. Show that A al for some a R.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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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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10. [H] Let A be a 2 x2 real matrix such that AX
that A al for some a € R.
=
XA for all 2 x 2 real matrices X. Show
Transcribed Image Text:10. [H] Let A be a 2 x2 real matrix such that AX that A al for some a € R. = XA for all 2 x 2 real matrices X. Show
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