Given the matrices A =
0 5 7
−2 7 7
−1 1 4
and B =
√
3
√
2
−
√
5
√
7
,
(a) Find |A|, A^−1 and B^−1 using row operations. [15]
(b) Find the characteristics polynomial of all the the matrices.
(c) Find the eigenvalues and eigenvectors of both matrices
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