Question: -2 L L 8. Let A = -9 and b= Given that -5 13 A give values of cy, c, and cy so that 9.

-2 L L 8. Let A = -9 and b= Given that -5 13 A
-2 L L 8. Let A = -9 and b= Given that -5 13 A give values of cy, c, and cy so that 9. Write the solution to the system 4xj + bag + 621 =0 7x, + Bry + 951= 0 in parametric form. Give reasons for your answer. You can use the RREF command on this problem so long as you document your work. 10. The matrix A is row equivalent to the matrix shown below. 2 Find all solutions to Ac = 0, You can use the AREF command on this problem so long as you document your work. 11. The matrix A is row equivalent to the matrix shown below. Find all solutions to Air = 0. Show all of your work. 12. Let us = (_2) and . = () Give the points P, and P, associated with u and u. b. Give a parameterization of the line that passes through P. and P. Hint: The vector (u - e) will be parallel to this line. 13. Mark each question as true or false. Justify each answer. In each problem, A is an m x n matrix and be R". Ar = 0 B consistent. b. The equation Ar = () has only the trivial solution if every column of A has a pivot. The solution set of Ax = b'is the set of all vectors of the form a = p + up where vy is any solution to An = 0. d. The equation de = 6 is homogeneous if the zero vector is a solution. 14, Determine if the columns of the matrix below form a linearly independent set. Give reasons for your answer. You can use the RREF command on this problem so long as you document your work. 10

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