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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 deﬁnition 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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- Spring '10
- JimBurker
- Math, Linear Algebra, Vector Space, Rational number, R R