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 ▸

Integrate cos(log(x)) dx


Find the determinant of a 3x3 square matrix


Find the volume of revolution about the x-axis of the curve y=1/sqrt(x^2+2x+2) for 0<x<1


f(x) = 9x^3 – 33x^2 –55x – 25. Given that x = 5 is a solution of the equation f(x) = 0, use an algebraic method to solve f(x) = 0 completely.