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Misplaced Homework Thread

**Summary::**Linear algebra

1.Let

**a**a fixed vector of the Euclidean space E, a is a fixed real number. Is there a set of all vectors from E for which (x, a) = d the linear subspace E /

2.

Let nxn be a matrix A that is not degenerate. Prove that the characteristic polynomials f (λ) of the matrix A and h (λ) of the matrix A ^ -1 are related by

3. Prove that the functions e ^ -t, e ^ -2t, e ^ -3t are linearly independent on [0,infinity)

Please help

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