# exam1 - B in terms of A C and D 5(20 pts Find the matrix...

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Math 3353 T. Hagstrom Fall 2009 Exam 1 1. (20 pts.) Find the general soluion of the linear system 2. (20 pts.) Compute the inverse of the following matrix

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3. (20 pts.) The commutator of the n x n matrices A and B is defined by AB - BA Compute the commutator of 0 -2 4. (20 pts.) Assuming A, C, and D are invertible n x n matrices and that I is the n x n identity matrix solve for B ABCD = I Must B be invertible? If so compute

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Unformatted text preview: B-' in terms of A, C and D. 5. (20 pts.) Find the matrix representation of the linear transformations between R2 and R2 which i. Rotates points counterclockwise around the origin by 45 degrees. ii. Reflects points across the line xl = 22. iii. First rotates points counterclockwise around the origin by 45 de- grees and then reflects the resulting point across the line xl = 22. Apply all three transformations to (-4,l)....
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exam1 - B in terms of A C and D 5(20 pts Find the matrix...

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