Question: Need help with this question a. Find a 2 x 2 matrix A such that (-4, 0) and (-2, -4) are eigenvectors of A corresponding

Need help with this question

a. Find a 2 x 2 matrix A such that (-4, 0) and (-2, -4) are eigenvectors of A corresponding eigenvalues 9 and -7. [Marks = 4] 3 b. Let B be the matrix 4 Find the eigenvalues and corresponding eigenvectors of B. [Marks = 4] c. Find the eigenvalue of C corresponding to the eigenvector (-1, 1, 0) (t stands for transposition) given that C is the matrix 10 5 -9 -4 5

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