What is the meaning of having a 3 by 3 matrix with determinent 0. Both geometrically and algebriaclly.

The matrix is singular.

No inverse matrix.

Geometrically: No unique point of intersection of planes, Either no common point, a line of intersection or the three planes coincide.

Alegebriacally: No unique solution either no solution or infinetly many solutions.

RM

Related Further Mathematics A Level answers

All answers ▸

Using z=cos(θ)+isin(θ), find expressions for z^n-1/z^n and z^n+1/z^n


Show, using de Moivre's theorem, that sin 5x = 16 sin^(5) x - 20 sin^(3) x + 5 sin x 


A particle is projected from the top of a cliff, 20m above the sea level at an angle of 30 degrees above the horizontal at 20m/s. At what vertical speed does it hit the water?


Use de Moivre’s theorem to show that, (sin(x))^5 = A sin(5x) + Bsin(3x) + Csin(x), where A , B and C are constants to be found.