True or False? Upload your reasoning. If the statement is true give a proof or detailed reason why it is true. If it is false give a counter example. If an n x n matrix A is diagonalizable (over R), then every vector 7 in R" can be expressed as a linear combination of eigenvectors of A.

Q: . Compute the inner product p(x), q (x p(x) = 1 + x² q(x) = 1x2x² Xo = -1 x₁ = 0 X₂ = 1 + p(x₁)

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A: I have explained everything with in the solution. Please go through that.

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