Find the eigenvalues and corresponding eigenvectors of the following matrix: A = [[6, -3], [4, -1]]. Hence represent the matrix in diagonal form.
The first eigenvalue is 3, whose corresponding eigenvector is (1, 1), and the second eigenvalue is 2, whose corresponding eigenvector is (3, 4). In diagonal form, A = PDP^-1, where P = [[1, 3], [1, 4]] and D = [[3, 0], [0, 2]].
MU
Answered by Michael U. • Further Mathematics tutor
3862 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸You are given a polynomial f, where f(x)=x^4 - 14x^3 + 74 x^2 -184x + 208, you are told that f(5+i)=0. Express f as the product of two quadratic polynomials and state all roots of f.
Find the determinant of a 3x3 matrix.
By Differentiating from first principles, find the gradient of the curve f(x) = x^2 at the point where x = 2
Express cos5x in terms of increasing powers of cosx