MAT-2240 Final: MATH 2240 App State Spring2011 Final Exam
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Use the variables t, s, r, . for free variables. x4 = x1 2x2 x3 + 2x4 = /10 points) (a) let a = (cid:2)1 1 0(cid:3), b = (cid:20)1 2 3. 2 1 0(cid:21), and c = (cid:20)1 1. Show all steps. (b) find the inverse of the matrix x = . /10 points) an elementary problem. (a) a = (cid:20)1. Write down the corresponding elementary matrices and describe the elementary row operation which was performed. 1 (b) write the matrix b = . And its inverse b 1 as a product of elementary matrices. By performing the forward pass of gaussian elimination. Then re-compute the determinant using some other technique. (c) a, b, and c are 1, 000 1, 000 matrices. We know that det(a) = 5, det(b) = 2, and c is the elementary matrix associated with swapping rows 37 and 72.
