Problem #4: Suppose that a matrix A has characteristic polynomial p() = 24 - 32³ +62² 15. Consider the following statements. (1) λ = 2 is an eigenvalue of A. (ii) That same p() is also the characteristic polynomial of AT (iii) A is a 3 x 3 matrix. Determine which of the above statements are True (1) or False (2). So, for example, if you think that the answers, in the above order, are True,False,False, then you would enter '1,2,2' into the answer box below (without the quotes).

Application: Solve and Check the following

Kim, Mary, and Karen are sisters who are working together to paint a Fence.  Kim, who is the oldest, said she’d paint half of the fence.  Mary, the middle sister, said she’d paint one-third of the fence.  Karen, the youngest, would paint whatever portion of the fence that remained.  Draw a picture to show how much of the fence each sister painted.  Explain your solution.

the price of a stock drops $3 each day for 7 days. The stock was worth $50 before the price began dropping. What is the price of the stock after the price dropped in price.