Answered: TRUE OR FALSE a. If AB = [0], then A…

TRUE OR FALSE a. If AB = [0], then A or B is a zero matrix. b. For a square matrix A,AAT = ATA. c. Let A and B be 2x2 matrices. The equation (A-B)(A+B)=A2-B2 is correct.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 86E

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Question

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Rate will be given. No long explantion needed.

TRUE OR FALSE

a. If AB = [0], then A or B is a zero matrix.

b. For a square matrix A,AA^T = A^TA.

c. Let A and B be 2x2 matrices. The equation (A-B)(A+B)=A²-B^{2 is correct.}

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