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  3. 2. given a = | 2 1 0 1 2 0 1 1 1 |. (a)...

2. Given A = | 2 1 0 1 2 0 1 1 1 |. (a)...

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Advance Math

2. Given A = | 2 1 0 1 2 0 1 1 1 |.

(a) Compute eigenvalues of A.

(b) Find a basis for the eigenspace of A corresponding to eachof the eigenvalues found in part (a).

(c) Compute algebraic multiplicity and geometric multiplicity ofeach eigenvalue found in part (a).

(d) Is the matrix A diagonalizable? Justify your answer

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