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[ Let A 1 -2 10 1 1 -5 -1 0 and P 1 |0 -1 1 Given that P diagonalizes A, then compute each of the following powers of A. ? ? (a) A40 ? ? (b) 4-400 ? ? ||

[ Let A 1 -2 10 1 1 -5 -1 0 and P 1 |0 -1 1 Given that P diagonalizes A, then compute each of the following powers of A. ? ? (a) A40 ? ? (b) 4-400 ? ? ||

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 24E: Let (a,b)=1. Prove that (a,bn)=1 for all positive integers n.
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[ Let A 1 -2 10 1 1 -5 -1 0 and P 1 |0 -1 1 Given that P diagonalizes A, then compute each of the following powers of A. ? ? (a) A40 ? ? (b) 4-400 ? ? ||
Transcribed Image Text:[ Let A 1 -2 10 1 1 -5 -1 0 and P 1 |0 -1 1 Given that P diagonalizes A, then compute each of the following powers of A. ? ? (a) A40 ? ? (b) 4-400 ? ? ||
Given that P diagonalizes A, then compute each of the following powers of A. ? ? 400 ? ? ? ? ? ? ? ? ? ? ? ? (Б) А 400 ? ? ? ||
Transcribed Image Text:Given that P diagonalizes A, then compute each of the following powers of A. ? ? 400 ? ? ? ? ? ? ? ? ? ? ? ? (Б) А 400 ? ? ? ||
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