Question

What is Eigen value?

(a) A vector  obtained from the coordinates

(b) A matrix determined from the algebraic equations

(c) A scalar associated with a given linear transformation

(d) It is the inverse of the transform

I had been asked this question during an interview.

My question comes from Eigenvalues topic in chapter Linear Algebra Overview of Signals and Systems

Answer 1

Right option is (c) A scalar associated with a given linear transformation

The best I can explain: Eigen values is a scalar associated with a given linear transformation of a vector space and having the property that there is some nonzero vector which is when multiplied by the scalar is equal to the vector obtained by letting the transformation operate on the vector.