Chapter 1.5 Inverses-LinearSystems

Linear system of equations ax b where 22 1 3 1 and b

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Unformatted text preview: A= 1 using A−1 . linear system of equations Ax = b, where 22 −1 3 1 and b = −2 23 3 Outline Number of Solutions Solving Multiple Systems More Results On the Inverse Inverse Elementary Matrix Suppose we wish to solve the each of the systems of linear equations Ax = b1 , Ax = b2 ··· Ax = bk . One can solve each system simultaneously by applying Gauss-Jordan elimination on: [ A | b1 | b2 | · · · | bk ]. Outline Number of Solutions Solving Multiple Systems More Results On the Inverse Example Example Solve the two systems of linear equations Ax = b1 and Ax = b2 , where −1 4 1 0 −3 A = 1 9 −2 and b1 = 1 and b2 = 4 6 4 −8 0 −5 Outline Number of Solutions Solving Multiple Systems More Results On the Inverse The Inverse of a Matrix Theorem Let A be an...
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