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Unformatted text preview: [b](15 points) Let A be a linear transformation from IR n to IR m with m < n . Give the denition for the null space of A and provide a simple lower bound for its dimension. 2. Consider the system-x 1 + 4 x 3 = 200-x 1 + x 2 + 9 x 3 = 200 2 x 1-x 2 + 7 x 3 = 200 . (a)(15 points) Write the augmented matrix corresponding to this system. (b)(20 points) Reduce the augmented system in part (a) to echelon form. (c)(10 points) Describe the set of solutions to the given system....
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This note was uploaded on 12/07/2010 for the course MATH 15909 taught by Professor Jimburker during the Spring '10 term at University of Washington.
- Spring '10