Question: Math 2010 Homework #5 Name 11. Let A = -1 2 5 0 . Write the solutions to the vector equation Ax = 0 in

Math 2010 Homework #5 Name 11. Let A = -1 2 5 0 . Write the solutions to the vector equation Ax = 0 in parametric vector form. 1 5 12. Set the free variable in #11 equal to the day of your birthday (for example, I was born on January 24, so I'll set the free variable equal to 24). Calculate the corresponding vector (which remember is a solution to Ax = 0). Verify that your vector is orthogonal to each row vector of the matrix A above (in #11). In other words, if v is your chosen non-zero vector, show that [3 2 5]v = 0, [-1 1 0]v = 0, and [4 1 5]v = 0. See an example
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