Let A, B; be Square matrixes, which meet the following conditionS BA = A(A+ I) & A3 I %3D 1. Prove that A is a reversible. Show the A Using A 2. Prove that B= A+I 3. Prove that BA = AB , And concluded that BABA = A²B2 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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ii.
Let A, B; be Square matrixes, which meet the following
conditions BA = A(A+ I) & 43 = I
1. Prove that A is a reversible. Show the 4 Using A
2. Prove that B= A+1
3. Prove that BA = AB , And concluded that BABA = A²B2
%3D
Transcribed Image Text:ii. Let A, B; be Square matrixes, which meet the following conditions BA = A(A+ I) & 43 = I 1. Prove that A is a reversible. Show the 4 Using A 2. Prove that B= A+1 3. Prove that BA = AB , And concluded that BABA = A²B2 %3D
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