If A and B and C are 4x4 random square matrices, which of the following are always true? (more than one answer may be correct). a.A*(B*C) = (A*B)*(A*C) b.transpose(A * B) = transpose(A) * transpose(B) c.(A + B) + C ≠ A + (B + C) d.A*(B + C) = A*B + A*C e.transpose(A * B) = transpose(B) * transpose(A) f.If A is an identity matrix, then A*B=B*A Multiple-choice questions

If A and B and C are 4x4 random square matrices, which of the following are always true? (more than one answer may be correct). a.A(BC) = (AB)(AC) b.transpose(A B) = transpose(A) * transpose(B) c.(A + B) + C ≠ A + (B + C) d.A(B + C) = AB + AC e.transpose(A B) = transpose(B) * transpose(A) f.If A is an identity matrix, then AB=BA Multiple-choice questions

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 41EQ

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