Let A and B be m x n matrices and || || be any matrix norm for m x n matrices, prove that | || – 2||B|| + ||2B – || < 2|| A – B||.

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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 23CM: Let X1,X2,X3 and b be the column matrices below. X1=[101], X2=[110], X3=[011] and b=[123] Find...
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3. Let A and B be m x n matrices and || · || be any matrix norm for m x n matrices, prove
that
| | – 2||B|| + ||2B – A|| < 2||A – B||.
Transcribed Image Text:3. Let A and B be m x n matrices and || · || be any matrix norm for m x n matrices, prove that | | – 2||B|| + ||2B – A|| < 2||A – B||.
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