35. a. Consider the upper triangular 3 x 3 matrix a b A = |0 d 0 f] e For which values of a, b, c, d, e, and f is A invert- ible? b. More generally, when is an upper triangular matrix (of arbitrary size) invertible? c. If an upper triangular matrix is invertible, is its in- verse an upper triangular matrix as well?

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