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
4092 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Give the general solution of the second order ODE dy2/d2x - 4dy/dx + 3 = 0
How would you use the Integration Factor method to solve an ordinary first-order linear differential equation?
find general solution to: x(dy/dx) + 2y = 4x^2
How do you invert a 2x2 matrix?