The positive integral powers of a square matrix A are defined as follows: Suppose that r and
Question:
The positive integral powers of a square matrix A are defined as follows:
Suppose that r and s are positive integers. Prove that Ar As = Ar+s and that (Ar)s = Ars (in close analogy with the laws of exponents for real numbers).
Transcribed Image Text:
A¹ = A, A4 = AA³,.... A² = AA, A³ = AA², An+1 = AA",...
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The matrix power A n is simply the product A...View the full answer
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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