ST 432 Final: ST 432 NCSU st432 Final Exam
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Math 331 sample exam 1 (20 points) solve the system ( nd all solutions) below. 1. carefully when setting up your augmented matrix. 2x1 4x3 + x4 + 4x5 = 9 x1 + x2 x3 + x4 + 6x5 = 8 x2 + x3 + 2x4 + 7x5 = 2. Which variables are free: (10 points) let a = . Determine exactly which values of a make the matrix b singular (hint: there is an easy way to eliminate much of the third row). Explain: (10 points) let a, b, c be 3 3 matrices. Suppose that you know det(a) = 3, det(b) = 5 and det(c) = 7. What is det(2a2b 1c t a 1): (8 points) give an example of an inconsistent system of equations. Make sure to explain why what you have written is inconsistent: (7 points each) true/false.
