Question: This is Linear algebra. Provide clear and readable solution thank you. 1. Given is matrix A = [4 6 10 3 10 13 - 2

This is Linear algebra. Provide clear and readable solution thank you.

This is Linear algebra. Provide clear and readable solution thank you. 1.

1. Given is matrix A = [4 6 10 3 10 13 - 2 - 6 - 8 ], with eigenvalues 2, = 0; 2, = 2; 12 = 4. The eigenvector for 2, = 0 is V = [- 1 - 1 1 ]. Find the eigenvectors for 2, = 2 and 2, = 4. Show your complete solution. 2. Given that matrix A = [8 - 424020 - 2 - 4 ] has an eigenvalue of 4 with the corresponding eigenvector of V = [- 4.5 - 4 1 ] , then AV is equal to

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