Answers>Further Mathematics>A Level>Article

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]].

Answered by Michael U. • Further Mathematics tutor

3990 Views

Find the eigenvalues and corresponding eigenvectors of the following matrix: A = [[6, -3], [4, -1]]. Hence represent the matrix in diagonal form.

Related Further Mathematics A Level answers

Solve for z in the equation sin(z) = 2

A block of mass 50kg resting on a rough surface with a coefficient of friction equal to 1/3. Find the maximum angle at which the surface can be inclined to the horizontal without the block slipping. Give your answer to 3 significant figures

Differentiate: y=x^x

Prove by induction that the sum from r=1 to n of (2r-1) is equal to n^2.