(10 points) Find the LU factorization of the matrix. Be sure to explain how you solved it and identify the steps and parts.

(3 points) Let A and B be n x n matrices. Which of the following statements is false? Be sure to explain how you solved it.  

(3 points) What is the minimum value of subject to if A = ? Hint, find the eignevalues. Be sure to explain how you solved it.  -7  -3  0  3  7

(10 points) Find the least squares solution of Ax = b by A) constructing the normal equation for

A nurse is caring for a toddler with failure to thrive (inability to maintain or gain weight). Which intervention would be inappropriate for the nurse to perform? 

(3 points) Let A and B be n x n matrices. Which of the following statements is false? Be sure to explain how you solved it.      

(5 points) Compute the determinant of the following by cofactor explanation along the second column.  

The nurse is caring for a client who has developed Cushing’s disease. Which situation supports the development of this diagnosis?

Which client would have the following treatment goals: Fluid replacement, vasopressin replacement, and correction of underlying intracranial pathology?  

After administering the first 15 g of carbohydrates to a hypoglycemic client, the nurse waits 15 minutes, reassesses the blood glucose and identifies a result of 92 mg/dL. According to the 15/15 guidelines, what is the nurse’s next action?