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Orthogonal Transformations Orthogonal Matrices In Exercises 1-2, which of the matrices are orthogonal? [0.8 0.6] [0.6 0.8] [2] [5 2] Consider the n x m matrix A, vector v in R^n, and a vector w in R^m. Show that (Av) · w = 6. (A^T w) Find all orthogonal 2 x 2 matrices. Is there an orthogonal transformation T from R^3 to R^3 such that det(T) = -1? Find a basis of the space V of all symmetric 3 x 3 matrices and thus determine the dimension of V. Is the transformation L(A) = A^T from R^(2x2) to R^(2x2) linear? Is L an isomorphism? Find the matrix of the linear transformation L(A) = A^T from R^(2x2) to R^(2x2) with respect to the basis {[1 0], [0 1]}.
Submitted by Sydney B. Sep. 08, 2021 04:08 p.m.
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