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For the matrix A 0 -(₁₁ 1). we we compute that Hence we can write 4² in terms of A and I = where r2 = Number A² =<<-1-4>,<4/15>> (11) as A² = r₁A+8₁I where r1 = Number and 81 = Number This formula allows us to write 44 in terms of as A and I as: and 82 Number Note: Maple syntax for the matrix ‹(ad) c A² = r₂A +821 A is << a | b >,< c | d >>

For the matrix A 0 -(₁₁ 1). we we compute that Hence we can write 4² in terms of A and I = where r2 = Number A² =<<-1-4>,<4/15>> (11) as A² = r₁A+8₁I where r1 = Number and 81 = Number This formula allows us to write 44 in terms of as A and I as: and 82 Number Note: Maple syntax for the matrix ‹(ad) c A² = r₂A +821 A is << a | b >,< c | d >>

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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For the matrix A 0 =(-₁₂ ²¹). 1₁). -1 we compute that A² = <<-1|-4>,<4|15>> Hence we can write 42 in terms of A and I = Note: Maple syntax for the matrix where r2 = Number and 82 = Number and $1 = Number where r1 = Number This formula allows us to write 44 in terms of as A and I as: (19) A² = ₁A+₁1 (ab) с as: A² = r2A +821 47 A₂. is << a | b >,< c | d >>.
Transcribed Image Text:For the matrix A 0 =(-₁₂ ²¹). 1₁). -1 we compute that A² = <<-1|-4>,<4|15>> Hence we can write 42 in terms of A and I = Note: Maple syntax for the matrix where r2 = Number and 82 = Number and $1 = Number where r1 = Number This formula allows us to write 44 in terms of as A and I as: (19) A² = ₁A+₁1 (ab) с as: A² = r2A +821 47 A₂. is << a | b >,< c | d >>.
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