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10. Yi has a 3 x 3 symmetric matrix Y where det(Y) = -2 and the top row of the matrix Y is [0 -1 0]. Find a possible matrix Y. Is this the only possibility? X x + 2y T 11. Michael's matrix M has the property that M Y = Z Find the matrix M. Then calculate det (M) and explain what it means. -5y+z for any vector y/3 บ Z [102 [1 0 2 0] 12. Alex has a 3×4 matrix A with rref (A) = 0 1 -1 0 0 1-1 0. Describe all possible vectors x where Ax = 0. 0 0 0 1

3 Find the domain of the function f(x) = (Type -infy to represent" - co "and infy to x=4 represent" o ". Do not include any spaces when typing your interval).

Use the following graph of the function f(x) to calculate the the average rate of change from x = 2 to x = 5. Round your answer to 2 decimal places. 3 2 -2 -1 0 3 4 5 6 9 10 1- -2 -3