Answered: 1. Let -(:::) -() 2 3 1 A = B = -1 2 2…

1. Let -(:::) -() 2 3 1 A = B = -1 2 2 -1 1 5 -1 Calculate AB, BA, (A'+B), the determinant of AB, the inverse of AB, the rank of AB, the eigenvalues of (AB), and the trace of BA.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.8: Solving Systems With Cramer's Rule

Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.

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Question

1. Let
-(:::) -()
2
3 1
A =
B =
-1 2
2 -1 1
5 -1
Calculate AB, BA, (A'+B), the determinant of AB, the inverse of AB, the rank of AB, the
eigenvalues of (AB), and the trace of BA.

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