NDA2010MathematicsMatricesActual
If | A |=8 , where A is a square matrix of order 3 , then what is | adj A| equal to ?
Options
- A16
- B24
- C64
- D512
Correct answer
C. 64
Step-by-step solution
aligned & Since | A |=8 0 & | adj ~A |=| A |^ n-1 aligned where n is order of the matrix | adj A |=|8|³⁻¹=|8|^2=64 .