tut9_soln - Math 235 Tutorial 9 Problems 3 1 1: Let A = 1 1...

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Unformatted text preview: Math 235 Tutorial 9 Problems 3 1 1: Let A = 1 1 . Find the maximum and minimum value of for a? E R2 subject —2 2 to the constraint = 1. 2: Find a singular value decomposition of each of the following matrices. l 1 a) 2 1 ~—1 1 b) [i a :1 3: Let A be an n x n invertible matrix with a singular value decomposition A = U EVT. Find a singular value decomposition for A‘l. 4: Let U EVT be a Singular value decomposition for an m X n matrix A with rank 7". Find, with proof, an orthonormal basis for row(A), col(A), null(A) and null(AT) from the columns of U and V. a) ...
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tut9_soln - Math 235 Tutorial 9 Problems 3 1 1: Let A = 1 1...

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