DISCUSS: No Zero-Product Property for Matrices We have used the Zero-Product Property to solve algebraic equations. Matrices do not have this property. Let O represent the 2 x 2 zero matrix O = 01 Find 2 X 2 matrices A + 0 and B + 0 such that AB = 0. Can you find a matrix A + 0 such that A2 = 0?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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DISCUSS: No Zero-Product Property for Matrices We have
used the Zero-Product Property to solve algebraic equations.
Matrices do not have this property. Let O represent the 2 x 2
zero matrix
O =
01
Find 2 X 2 matrices A + 0 and B + 0 such that AB = 0.
Can you find a matrix A + 0 such that A2 = 0?
Transcribed Image Text:DISCUSS: No Zero-Product Property for Matrices We have used the Zero-Product Property to solve algebraic equations. Matrices do not have this property. Let O represent the 2 x 2 zero matrix O = 01 Find 2 X 2 matrices A + 0 and B + 0 such that AB = 0. Can you find a matrix A + 0 such that A2 = 0?
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