Question #42307
Let
A =5 4 −4
6 7 −6
12 12 −11
a) Find the adjoint of A. Find the inverse of A from the adjoint of A.
b) Find the characteristic and minimal polynomials of A. Hence find its eigenvalues and eigenvectors.
c) Why is A diagonalisable? Find a matrix P such that P^(−1) AP is diagonal.
d) Verify Cayley-Hamilton theorem for A. Hence, find the inverse of A.
A =5 4 −4
6 7 −6
12 12 −11
a) Find the adjoint of A. Find the inverse of A from the adjoint of A.
b) Find the characteristic and minimal polynomials of A. Hence find its eigenvalues and eigenvectors.
c) Why is A diagonalisable? Find a matrix P such that P^(−1) AP is diagonal.
d) Verify Cayley-Hamilton theorem for A. Hence, find the inverse of A.
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#340153 on Dec 2023
#340153 on Dec 2023
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