Compute the other eigenvector. And draw each of the eigenvectors and the transformed vectors (with A) on the graph below.

Find a basis for the eigenspace corresponding to the eigenvalue. 4 - 3 3 A = 6 , 1 = 3 - 2 -6 -3 A basis for the eigenspace corresponding to 1 = 3 is { }. (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)

Find the basic eigenvectors of A corresponding to the eigenvalue 1. -1 0 0 A=-12 -12 -1 12 1 12, 2 2 = -1 -4 03 Number of Vectors: 1 0 0

Find all eigenvalues and a basis for each eigenspace of A. Then use them to find values of lambda and phi such that A can be expressed as the product of a scaling matrix with factor lambda and a rotation matrix with angle phi. A = 3    -4 4     3

What is the vector where it is orthogonal to the eigenvectors