1. Do Gaussian elimination on A to convert A into an upper triangular matrix. Show matrices...

 

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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. For which numbers c and d, the matrix B is of rank 2 where A = [32 2 1 0 01 1 2 0 5 B = 0 0 с 2 2 000d 2 . 4. Compute all eigenvalues and eigenvectors of matrix C where C = [002] 0 200 5. Let V be the real vector space spanned by the rows of the matrix A, where 3 21 0 9 0 1 7 -1 -2 -1 A = 2 14 0 6 1 6 42 −1 13 0 Find the basis for V. Tell which vectors (x1, x2, x3, x4, x5) are elements of V. 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. For which numbers c and d, the matrix B is of rank 2 where A = [32 2 1 0 01 1 2 0 5 B = 0 0 с 2 2 000d 2 . 4. Compute all eigenvalues and eigenvectors of matrix C where C = [002] 0 200 5. Let V be the real vector space spanned by the rows of the matrix A, where 3 21 0 9 0 1 7 -1 -2 -1 A = 2 14 0 6 1 6 42 −1 13 0 Find the basis for V. Tell which vectors (x1, x2, x3, x4, x5) are elements of V.