Question: Question (10 + 10 + 5 + 15 marks). Consider the matrix 19 05 A = 1. Do Gaussian elimination on A to convert A

Question (10 + 10 + 5 + 15 marks). Consider the
Question (10 + 10 + 5 + 15 marks). Consider the matrix 19 05 A = 1. Do Gaussian elimination on A to convert A into an upper triangular matrix. Show matrices obtained after each step of Gaussian elimination. 2. Do Gaussian elimination on A to convert A into a lower triangular matrix. Show matrices obtained after each step of Gaussian elimination. 3. Compute the determinant of A. 4. Compute all eigenvalues and eigenvectors of A

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