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Stitz-Zeager_College_Algebra_e-book

4 systems of linear equations matrix inverses 1 0 0 1

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Unformatted text preview: use the calculator to check our solution as well by plotting the three data points and the function f . 7 The graph of f (x) = − 18 x2 + 13 x + 37 18 9 with the points (−1, 3), (2, 4) and (5, −2) 4 We’ve tortured you enough already with fractions in this exposition! 8.2 Systems of Linear Equations: Augmented Matrices 8.2.1 473 Exercises 1. State whether the given matrix is in reduced row echelon form, row echelon form neither of those forms. 103 1043 1143 (a) 0 1 3 6 0 1 3 6 013 (e) (c) 0001 0000 3 −1 13 1000 3 16 1143 (b) 2 −4 (f) 0 1 0 0 (d) 1 −1 15 0136 0001 only or in 0 0 0 2. The following matrices are in reduced row echelon form. Decode from each matrix the solution of the corresponding system of linear equations or state that the system is inconsistent. 1 0 9 −3 10030 1 0 −2 (a) 01 1 −4 20 7 (f) 0 (d) 0 1 2 6 0 00001 0 0 0 0 1 0 0 −3 (b) 0 1 0 20 1 0 −8 17 10000 0 0 0 1 19 1 4 −3 2 (g) 0 1 4 3 0 (e) 0 0 0 0 0 1 0 0 00 1003 4 0 0 0 00 00000 (c) 0 1 0 6 −6 0010 2 3. Solve the following systems of linear equations using the techniqu...
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