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- Find QR decompositionConsider: A = 0 1 0 0 0 2 0 0 0 a) What are the sizes of U, Σ, V in the singular value decompositionUΣVT of A? b) What is the singular value decomposition of A? c) Using response from (b), give bases for the four fundamentalsubspaces of A. (attached is work to find ATA, eigenvalues of ATA and the singular values of A.)Find the singular value decomposition of the Matrix A
- Find the QR decomposition of the matrix A = { [1, 1, 1], [1, 0, 1], [0, 1, 1] }The characteristic polynomial of A is p(λ) = λ3−3λ2+4. Find its eigenvalues.Let A the n-by-1 matrix all of whose entries are the number 1. Find the singular value decomposition of A, identifying explicitly U, S, and V so that A = USV. Also find the pseudoinverse of A.