MAT188H1 Midterm: MAT188H1_20169_641483478686mat188tut12sol
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MAT188H1 Full Course Notes
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Faculty of applied science & engineering, university of toronto. Tutorial problems 12: let a = . You may verify at a = i, where i is the 3 3 identity matrix. (b) yes. A is symmetric. (c) a straightforward check shows that it does not: find numbers a, b, c, d such that the matrix. Recall that a is orthogonal i the columns of a are orthonormal. So, for the given a to be orthogonal. , i. e. , we require a b c d to be orthogonal to each of. , and and that the length of a b c d a + b + c + d = 0 a b + c d = 0. 2a a b c d is 2. 2 2 2 6: let a = Find an orthogonal matrix p and a diagonal matrix d such that p t ap = d.