Let A= 15 -24 8 -13 0 0 8 4 -1 (a) Find the characteristic polynomial and all eigenvalues of A. (b) Find an invertible m
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Let A= 15 -24 8 -13 0 0 8 4 -1 (a) Find the characteristic polynomial and all eigenvalues of A. (b) Find an invertible m
Let A= 15 -24 8 -13 0 0 8 4 -1 (a) Find the characteristic polynomial and all eigenvalues of A. (b) Find an invertible matrix P and a diagonal matrix D such that P-AP = D. Answer: (a) Characteristic polynomial: det (A – XI) = -(1+1)(1 – 3), eigenvalues: 1 = -1,-1,3. [3 0 2 -1 0 07 (b) P= 21 and D 0 -1 0 0 3 0 0 0 3 1
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