1. Prove the following for any two matrices A and B of order ( 2 × 2 ). (A + B)² = A² + AB + BA + B2 а.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Task 1
1.
Prove the following for any two matrices A and B of order (2 × 2 ).
(A + B)² = A² + AB + BA + B2
а.
b.
List any two properties of eigenvalues of a square matrix. Explain it in your own
way and support it with examples.
Transcribed Image Text:Task 1 1. Prove the following for any two matrices A and B of order (2 × 2 ). (A + B)² = A² + AB + BA + B2 а. b. List any two properties of eigenvalues of a square matrix. Explain it in your own way and support it with examples.
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