Question 1: (a) Show that det(A)=21∣∣tr(A)tr(A2)1tr(A)∣∣ for every 2×2 matrix A. (b) Prove that (x1,y1),(x2,y2)
Posted: Wed Jul 13, 2022 5:08 am
Question 1: (a) Show that det(A)=21∣∣tr(A)tr(A2)1tr(A)∣∣ for every 2×2 matrix A. (b) Prove that (x1,y1),(x2,y2) and (x3,y3) are collinear points if and only if ∣∣x1x2x3y1y2y3111∣∣=0