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Back to Gauss’s Method

Exercise 7

Avg difficulty 3.0

This system is not linear in that it says sin⁡α\sin\alpha instead of α\alpha

2sin⁡α−cos⁡β+3tan⁡γ=34sin⁡α+2cos⁡β−2tan⁡γ=106sin⁡α−3cos⁡β+tan⁡γ=9\begin{array}{rcrcrcr}2\sin\alpha&-&\cos\beta&+&3\tan\gamma&=&3\\ 4\sin\alpha&+&2\cos\beta&-&2\tan\gamma&=&10\\ 6\sin\alpha&-&3\cos\beta&+&\tan\gamma&=&9\end{array}

and yet we can apply Gauss’s Method. Do so. Does the system have a solution?

Hefferon, Linear Algebra, Linear Systems, Gauss’s Method, Exercise 7

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.