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If a problem asks you to justify your answer, you need to write a few words explaining your conclusion. You may not use a calculator on this exam. 1. Write the augmented matrix for the system of equations and use it to solve the system X+X+*=1 X - X +3X =-8 2x + 2x, + x = 3 2. Determine if b is in Span{ a, , a2 , a, } . Justify your answer. 17 4 a, = -1 ,a, = 1 ,a = -2 , b=-5 3 -61 3 121 1 1 -3 4 3. Do V, = -3 , V. = 1 , and V, = 3 span R ? Justify your answer. 0 -2 4 8 4. Let A= describe all solutions of Ax =0 in parametric vector form. 10 -17 -31