Linear Algebra with Applications (3rd Edition)

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110.201 Linear Algebra 1st Quiz February 11, 2005 Problem 1 Given the following system of equations: 3 x + 2 y - 5 z = 1 4 x - y + z = 0 x - z = 2 find all solutions using Gauss-Jordan elimination procedure. Is this an example of consistent system? Why? Problem 2 Find the rank of the following matrix - 1 3 8 - 2 1 - 1 3 9 - 1 3 1 - 3 - 9 1 - 3 0 0 0 0 2 Problem 3
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Unformatted text preview: In a certain sense, the following system is not linear: 2sin α-cos β + 3tan γ = 3 4sin α + 2cos β-2tan γ = 10 6sin α-3cos β + tan γ = 9 . However, there is still a way to do Gauss-Jordan elimination on it. Does a solution exist for α , β , and γ ? 1...
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