Determinant of characteristic roots and vectors

Prove that the product of the characteristics roots of a square matrix of order n is equal to the determinant of the matrix.

What are the characteristics of roots ?

List two essential characteristics of vectors

What are cloning vectors? Describe the characteristics of a cloning vector.

What is a cloning vector? Describe briefly the characteristics a cloning vector must possess.

Show that the characteristics roots of an idempotent matris are either 0 or 1

Define the term 'biome' and list the factors that determine the characteristics of a biome.

Which of the following is not a characteristic of pBR322 vector ?

Which of the following is not a characteristic feature of the vector pBR322?