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
Answered by Rana M. • Further Mathematics tutor
3235 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸If 0<x<1, find the following sum: S = 1+2*x + 3*x^2 + 4*x^3 + ...
Explain the process of using de Moivre's Theorem to find a trigonometric identity. For example, express tan(3x) in terms of sin(x) and cos(x).
Does the following matrix A = (2 2 // 3 9) (upper row then lower row) have an inverse? If the matrix A^2 is applied as a transformation to a triangle T, by what factor will the area of the triangle change under the transformation?
A line has Cartesian equations x−p = (y+2)/q = 3−z and a plane has equation r ∙ [1,−1,−2] = −3. In the case where the angle θ between the line and the plane satisfies sinθ=1/√6 and the line intersects the plane at z = 0. Find p and q.