Cayley Hamilton Theorem Starter Quiz

Cayley-Hamilton is useful to find?

Cayley-Hamilton Theorem states that a square matrix satisfies its own characteristic equation.
Consider a matrix
. The relation satisfied by the matrix A is:

If the rank of the matrix is 2 then the value of λ is ______.

Let A be a 3 x 3 real matrix with eigen values 1, 2, 3 and let B = A^-1 + A², then the trace of B is _________.

Consider the matrix A = , calculate the value of A⁹ is?

The value of p such that the vector  is an eigen vector of the matrix  is :