Question

If A = [

Answer 1

Answer:

Hello,

Step-by-step explanation:

a)

$A=\begin{bmatrix}-4 & 2 \\3 & -7 \end{bmatrix}\\\\|A|=det \ A=-4*(-7)-3*2=28-6=22$

b)

$Adj\ A= \begin{bmatrix}-7 & 3 \\2 & -4 \end{bmatrix}$

c)

$A^{-1}=\begin{bmatrix}\dfrac{-7}{22} & \dfrac{2}{22} \\\\\dfrac{3}{22} & \dfrac{-4}{22} \end{bmatrix}$

d) Since A has an inverse, A is inversible and not singular.