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6 Nov 2019
Find singular value decomposition of the matrix A = (2 0 3 2) Use it to find a) max ||x|| lessthanorequalto 1 ||Ax|| and the vectors where the maximum is attained: b) min ||x|| =1 ||Ax|| and the vectors where the minimum is attained: c) the image A (B) of the closed unit ball in R^2, B = {x element R^2: ||x|| lessthanorequalto 1}. Describe A (B) geometrically. Show transcribed image text
Find singular value decomposition of the matrix A = (2 0 3 2) Use it to find a) max ||x|| lessthanorequalto 1 ||Ax|| and the vectors where the maximum is attained: b) min ||x|| =1 ||Ax|| and the vectors where the minimum is attained: c) the image A (B) of the closed unit ball in R^2, B = {x element R^2: ||x|| lessthanorequalto 1}. Describe A (B) geometrically.
Show transcribed image text Hubert KochLv2
3 Oct 2019