Question: -7 =26 40 3. The eigenvalues of the matrix A = 0 3 0| are 3 (with multiplicity 2) and 1 (with multiplic- -2 =5

-7 =26 40 3. The eigenvalues of the matrix A = 0 3 0| are 3 (with multiplicity 2) and 1 (with multiplic- -2 =5 11 ity 1). (You do not need to find these.) Do the following for the matrix A: a. [1 point] Find a basis for the eigenspace of each eigenvalue, indicating which basis corresponds with which eigenvalue. b. [1 point] Is the matrix A diagonalizable? If so, find matrices D and P such that A = PDP~! and D is a diagonal matrix. If A is not diagonalizable explain carefully why it is not diagonalizable

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