Question

Let us consider a square matrix A of order n with Eigen values of a, b, c then the Eigen values of the matrix A^T could be.

(a) a,  b,  c

(b) -a,  -b,  -c

(c) a-b,  b-a,  c-a

(d) a^-1, b^-1, c^-1

The question was asked in examination.

My question is taken from Eigenvalues in chapter Linear Algebra Overview of Signals and Systems

Answer 1

Correct option is (a) a,  b,  c

The explanation: According to the property of the Eigen values, any square matrix A and its transpose A^T  have the same Eigen values.