Show that the matrix A is non-singular for all real values of a
Given: A = [a -5; 2 a+4]. 1) First find the determinant of A using the known formula => det A = a2+ 4a + 10. A singular matrix is one in which it's determinant equals zero (the determinant of a matrix is a number that captures information about the characteristics of the matrix). The roots of the quadratic are complex, so the graph never equals zero/ no real roots. Therefore it must be a non-singular matrix.
Related Further Mathematics A Level answers
All answers ▸Find the GS to the following 2nd ODE: d^2y/dx^2 + 3(dy/dx) + 2 = 0
Calculate the value of the square root of 3 to four decimal places using the Newton-Raphson process
Prove that sum(k) from 0 to n is n(n+1)/2, by induction
Differentiate x = sinhy with respect to x