• Loser66
$a_{11}x_1+a_{12}x_2=b_1\\a_{21}x_1+a_{22}x_2=b_2$ Define $\triangle = a_{11}a{22}-a_{12}a_{21}\\\triangle_1=a_{22}b_1-a_{12}b_2\\\triangle_2=a_{11}b_2-a_{12}b_1$ a) Show that the given system has a unique solution if and only if $$\triangle \neq 0$$and that unique solution in this case is $$x_1=\frac{\triangle_1}{\triangle}$$ and $$x_2\frac{\triangle_2}{\triangle}$$ b) If $$\triangle =0$$, and $$a_{11}\neq 0$$, determine the condition on $$\triangle_2$$ that would guarantee that the system has i) no solution, ii) an infinite number of solution c) Interpret your results in term of intersections of straight lines Please help
Mathematics
• Stacey Warren - Expert brainly.com
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SOLVED
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