Question: please answer :) 0 0 3. (10 points) Let A = 1 -3 1 1 0 1 1. Write the characteristic equation for A. 2.

please answer :)

0 0 3. (10 points) Let A = 1 -3 1 1 0 1 1. Write the characteristic equation for A. 2. Find the eigenvalues of A. 3. What is the algebraic multiplicity of each eigenvalue? 4. For each eigenvalue of A find a basis for the corresponding eigenspace.5. What is the geometric multiplicity of each eigenvalue? 6. Is A diagonalizable? 7. If A is diagonalizable, find a invertible matrix P and a diagonal matrix D so that A = PDP-1

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