(a) Find all 2 x 2 symmetric matrices that commute with the matrix B= -3 (b) Find all 2 x 2 skew symmetric matrices A that satisfy the equation A +542 + 4l2 = 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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Question 2:
(a) Find all 2 x 2 symmetric matrices that commute with the matrix B =
2 -3
(b) Find all 2 x 2 skew symmetric matrices A that satisfy the equation A+5A2 + 412 = 0
2.
Transcribed Image Text:Question 2: (a) Find all 2 x 2 symmetric matrices that commute with the matrix B = 2 -3 (b) Find all 2 x 2 skew symmetric matrices A that satisfy the equation A+5A2 + 412 = 0 2.
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