(2 marks) The 2 x 2 matrix has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notat
Posted: Sat Jul 09, 2022 1:57 pm
(2 marks) The 2 x 2 matrix has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notation in the form t^2 + a*t + b Characteristic polynomial = t^2+7*t-8 2. Find the set of eigenvalues for A, enclosed in braces ( } with the two eigenvalues separated by a comma, like (-4, 7) F Set of eigenvalues for A = {1,-8} A = (-7²) 3. Find one eigenvector for each eigenvalue, using Maple <,>for vectors, e.g. <5, -6> for the vector ·(5) an eigenvector for the smallest eigenvalue for A = an eigenvector for the largest eigenvale for A = X AG