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2. (a) Let J= [28]. Show that there is no matrix X such that X² = J but that there are infinitely many different choices of X such that X² = J². (b) Let A = 10 10 Show that for p≥ 1, AP = A and hence evaluate eª.

2. (a) Let J= [28]. Show that there is no matrix X such that X² = J but that there are infinitely many different choices of X such that X² = J². (b) Let A = 10 10 Show that for p≥ 1, AP = A and hence evaluate eª.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please give me correct solution for both questions.
00 10 infinitely many different choices of X such that X² = 1². 2. (a) Let J = (b) Let A = [1 10 0 . Show that there is no matrix X such that X² = J but that there are Show that for p > 1, AP = A and hence evaluate eª.
Transcribed Image Text:00 10 infinitely many different choices of X such that X² = 1². 2. (a) Let J = (b) Let A = [1 10 0 . Show that there is no matrix X such that X² = J but that there are Show that for p > 1, AP = A and hence evaluate eª.
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