\[a_{11}x_1+a_{12}x_2=b_1\\a_{21}x_1+a_{22}x_2=b_2\]
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

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

is it not \(\triangle \) det of A?

yes

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.