Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Take a look at the attachment below. It proves that the inverse of matrix P does exists, as option c,

Hope that helps!

Answer 2

Answer: C

Explanation:

Given a b

c d

Multiply the reciprocal of the determinant by d -b

-c a

Determinant = ad - bc = 2(-3) - 4(1)

= -6 - 4

= -10

`-(1)/(10)\left[\begin{array}{cc}-3&-4\\-1&2\end{array}\right] \\\\\\\\=\left[\begin{array}{cc}(-3)/(-10)&(-4)/(-10)\\\\(-1)/(-10)&(2)/(-10)\end{array}\right]\\\\\\\\=\left[\begin{array}{cc}(3)/(10)&(2)/(5)\\\\(1)/(10)&-(1)/(5)\end{array}\right]`