I want to answer this question while correcting the wrong answer... Answer each of the following as True or False justifying your answers:a) If A and B are n x n matrices, then (A + B)² = A? + 2AB + B².b) If A is an n x n invertible symmetric matrix, then (A)* is symmetric, forany positive integer k.c) Let A be an n x n matrix. If A is invertible, then |A| + 0.d) If A and B are n x n matrices, then |A + B"| = |A" + B|.e) The vectors (a,0,0), (1, a, 0) and (2,3, a) in R³ are linearly independent forall a E R.

Since you have asked multiple question, we will solve the first question for you. If youwant any…

Answered: Answer each of the following as True or…

Answer each of the following as True or False justifying your answers: a) If A and B are n x n matrices, then (A + B)² = A? + 2AB + B².

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 77E

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I want to answer this question while correcting the wrong answer...

Answer each of the following as True or False justifying your answers:
a) If A and B are n x n matrices, then (A + B)² = A? + 2AB + B².
b) If A is an n x n invertible symmetric matrix, then (A)* is symmetric, for
any positive integer k.
c) Let A be an n x n matrix. If A is invertible, then |A| + 0.
d) If A and B are n x n matrices, then |A + B"| = |A" + B|.
e) The vectors (a,0,0), (1, a, 0) and (2,3, a) in R³ are linearly independent for
all a E R.

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