4- The matrix is : a) null matrix; b) nilpotent matrix ; c) idempotent matrix.
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A: Thanks for the question :)And your upvote will be really appreciable ;)
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- Suppose U is mxn matrix. Explain why if U has orthonormal columns, then we must have m greater than or equal to n.Prove that the identity matrix cannot be the product of three row exchanges ( or five). It can be the product of two exchanges ( or four).Let Eki be the elementary matrix formed by subtractingα times the ith row of the identity matrixfrom the kth row. Show that Eki = I − αekeTi .
- compute the indicated matrices (if possible). BBTGive at least 3 examples of each type of matrix with solutions and own given: 13. Involutory Matrix 14. Idempotent Matrix 15.Nilpotent MatrixProve that a 2×2 matrix transforms any straight line into a second straight line and points on the second line have a one-to-one correspondence with points on first line.(in computer graphics)
- 7.1 is symmetric Matricescompute the indicated matrices (if possible). ABA square matrix is called a permutation matrix if it contains the entry 11 exactly once in each row and in each column, with all other entries being 00. All permutation matrices are invertible. Find the inverse of the permutation matrix