Given the matrix A = -2e³t sin(8t) 2e5t cos(8t) 6e³t cos(8t) 6e5t sin(8t)] find A-¹. Express your answer as simply as possible. (Hint: use the 2 x 2 matrix inverse

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Given the matrix
A =
-2e³t sin(8t) 2est cos (8t)
6e³t cos(8t) 6e5t sin(8t)
find A-¹. Express your answer as simply as possible. (Hint: use the 2 x 2 matrix inverse
formula rather than Gauss-Jordan Elimination.)
Transcribed Image Text:4. Given the matrix A = -2e³t sin(8t) 2est cos (8t) 6e³t cos(8t) 6e5t sin(8t) find A-¹. Express your answer as simply as possible. (Hint: use the 2 x 2 matrix inverse formula rather than Gauss-Jordan Elimination.)
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