The 3 x 3 matrix A has eigenvalues a, 2 and 2a. Find the values of a, ß and 0 for which 4A-¹ = A² + A + BI3 and A¹ = 0A² + 2A — 4Ī3. a = 1, B = 4, 0 =5 a = 1, 3-2, 0 = 5 a = -1, 3= 2, 0 = 5 a = -1, 3-2, 0=5 a = -1, B = -2, 0=-5 O

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The 3 x 3 matrix A has eigenvalues a, 2 and 2a. Find
the values of a, 6 and 0 for which
4A-¹ = A²+A+BI3
and A¹ = 0A² + 2A — 4Ī3.
a = 1, B = 4,
0=5
a = 1, B = -2, 0=5
a = -1, B2, 0 = 5
a = -1, B = -2, 0=5
a = -1, B = -2, 0=-5
Transcribed Image Text:The 3 x 3 matrix A has eigenvalues a, 2 and 2a. Find the values of a, 6 and 0 for which 4A-¹ = A²+A+BI3 and A¹ = 0A² + 2A — 4Ī3. a = 1, B = 4, 0=5 a = 1, B = -2, 0=5 a = -1, B2, 0 = 5 a = -1, B = -2, 0=5 a = -1, B = -2, 0=-5
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