MATH 3A Midterm: Midterm_1_3A_f2015_example

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31 Jan 2019
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Consider the 4 5 matrix a and vector b r4 given by. 3 (a) find the solutions to ax = b for x r5. Give your answer in parametric form. (b) is the map a : r5. Exercise 2 (40=10+10+10+10 pts) (a) consider the map t : r3. Is t onto (surjective)? (c) de ne c by. R3 given by (x, y, z) 7 (x + y + z, 2y + z, y + z). R2 be the linear map which satis es. Find a 2 3 matrix b such that for all x r3 one has bx = t x.

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