AP EAMCET202421 May 2024Evening ShiftMathematicsMatricesActual
Assertion (A): If B is a 3 3 matrix and |B|=6 , then | Adj (B)|=36 Reason (R): If B is a square matrix of order n , then | Adj (B)|=|B|^ n
Options
- ABoth (A) and (R) are true and (R) is the correct explanation of (A)
- BBoth (A) and (R) are true but (R) is not the correct explanation of (A)
- C(A) is true but (R) is false
- D(A) is false but (R) is true
Correct answer
C. (A) is true but (R) is false
Step-by-step solution
|B|=6 | Adj (B)|=6³⁻¹=36 Since |B_ n n |=k | Adj (B)|=k^ n -1 .