Given that L is an eigenvalue of an invertible matrix A, prove that 1/L is an eigenvalue for A^(-1). (NOTE: need proof for A in general; giving one example will not suffice)
Given that L is an eigenvalue of an invertible matrix A, prove that 1/L is an eigenvalue for A^(-1). (NOTE: need proof for A in general; giving one example will not suffice)
L is an eigenvalue of A, so there exists an non-zero vector X such that: