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Find the spectral matrix and the corresponding modal matrix for 1 2] 4 B = 4 1 . Write down the formula that needs to be used to diagonalise 084 matrix B, but do not perform matrix multiplications. Hint: you might find it helpful to note that −32(6—X)+4(A+12) = −36(4−X).

Find the spectral matrix and the corresponding modal matrix for 1 2] 4 B = 4 1 . Write down the formula that needs to be used to diagonalise 084 matrix B, but do not perform matrix multiplications. Hint: you might find it helpful to note that −32(6—X)+4(A+12) = −36(4−X).

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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2. 6 B = 4 4 Find the spectral matrix and the corresponding modal matrix for 1 2 Write down the formula that needs to be used to diagonalise 14 1 084 matrix B, but do not perform matrix multiplications. Hint: you might find it helpful to note that -32(6-X)+4(A+12) = −36(4-X).
Transcribed Image Text:2. 6 B = 4 4 Find the spectral matrix and the corresponding modal matrix for 1 2 Write down the formula that needs to be used to diagonalise 14 1 084 matrix B, but do not perform matrix multiplications. Hint: you might find it helpful to note that -32(6-X)+4(A+12) = −36(4-X).
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