Problem 14. Let 1 3 A= 0 1 1 225 b₁ = A and b₂ = (a) Compute det A. (Note that det A # 0, and so A is invertible by the invertible matrix theorem.) (b) Find A-¹. (c) Find solutions to the matrix equations Ax₁ = b₁ and Ax₂ = b₂.

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Chapter2: Second-order Linear Odes
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Problem 14. Let
1 3 4
1 1
225
A = 0
-H
b₁ =
DELL
-10
and b₂ =
(a) Compute det A. (Note that det A0, and so A is invertible by the invertible matrix
theorem.)
(b) Find A-¹.
(c) Find solutions to the matrix equations Ax₁ = b₁ and Ax₂ = b₂.
Transcribed Image Text:Problem 14. Let 1 3 4 1 1 225 A = 0 -H b₁ = DELL -10 and b₂ = (a) Compute det A. (Note that det A0, and so A is invertible by the invertible matrix theorem.) (b) Find A-¹. (c) Find solutions to the matrix equations Ax₁ = b₁ and Ax₂ = b₂.
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