Unformatted text preview: n A1 . 3. Find the inverse of the matrix A = 1 01 0 1 2 1 1 1 4. Find the matrix of the linear transformation that rotates R 2 through an angle of 120 ◦ and then reﬂects all vectors in the line y = 3 x . 5. Using the GramSchmidt process or otherwise, ﬁnd an orthonormal basis for the hyperplane x 1 + x 2 + ...x n = 1. 6. Suppose that T : R n → R n is given by T ( ~e j ) = ~e j +1 for j = 1 ,...,n1, T ( ~e n ) = ~e 1 . (a) Describe the matrix associated to T . (b) Find all matrices (or linear transformations) that commute with T . 1...
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 Fall '08
 STAPLES
 Math, Linear Algebra, Algebra

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