Let A be a 2 × 2 matrix Statement - 1: adj(adj A) = A Statement - 2: | adj A | = | A |

(D) statement -1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement - 1.

(A) statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1.

(B) statement - 1 is true, statement - 2 is false.

(C) statement - 1 is false, statement -2 is true

Matrices and Determinants: JEE Main 2009 Mathematics question

JEE Main 2009 · Annual, Paper 1 · Q4516

JEE Main 2009Annual, Paper 1MathematicsEasyMatrices and Determinants245× since 2002

Let

A

be a

\,2 \times 2

matrix Statement - 1 :

adj\left( {adj\,A} \right) = A

Statement - 2 :

\left| {adj\,A} \right| = \left| A \right|

JEE Main 2009 · Annual, Paper 1 · Q4516

JEE Main 2009Annual, Paper 1MathematicsEasyMatrices and Determinants245× since 2002

Let

A

be a

\,2 \times 2

matrix Statement - 1 :

adj\left( {adj\,A} \right) = A

Statement - 2 :

\left| {adj\,A} \right| = \left| A \right|