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 >>

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 79E
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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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