If a system of equations can be written in the form Ax lamb

If a system of equations can be written in the form Ax = lambda x where A is a square matrix of size n x n, x is a vector of length n, and lambda is a scalar, either real or complex then: x is called an: (circle one) lambda is called an: (circle one)

Solution

1 )A nonzero vector x is an eigenvector

2) if there is a number such that Ax = x. • The scalar value is called the eigenvalue