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
3328 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸How would you show the equation f(x) = 2x – 10 sin x – 2 has a root between 2 and 3 (where x is measured in radians)
Show that the matrix A is non-singular for all real values of a
In simple harmonic motion, where would the object have the largest speed. If the angular velocity is 2 rad s^-1, and the amplitude is 1m, what is the largest speed obtained by the object?
(FP1) Given k = q + 3i and z = w^2 - 8w* - 18q^2 i, and if w is purely imaginary, show that there is only one possible non-zero value of z