Orthogonal Matrices - Examples with Solutions

Introduction to eigenvalues and eigenvectors

Show that the matrices are orthogonal with respect to the standard inner product on M22. U=[ 5 -1 2 -2], V=[ 1 3 -1 0] | Numerade

Part 1: Finding eigenvectors using geometryWhich of the eight vectors drawn in the domain are eigenvectors? Enter your answer as a comma-separated list of vector names, such as v1, v2.Eigenvectors:Part 2: Finding eigenvalues using geometryFor each eigenvector from Part 1, find and enter the corresponding eigenvalue. Help (numbers)aT(v) = b. I(vs) = c. I(vg) = .T(vs) =Part 3: Generalizing observations about eigenvectors to eigenspacesa. Select all of the eigenvectors for the linear transformation