JEE Main2012MathematicsMatricesActual
If A= ( array c -1 0 0 array ), B= ( array c +1 0 0 array ) be two matrices, then A B^T is a non-zero matrix for | | not equal to
Options
- A2
- B0
- C1
- D3
Correct answer
C. 1
Step-by-step solution
Let A= ( array c -1 0 0 array ), B= ( array c +1 0 0 array ) be two matrices. aligned & A B^T= ( array c -1 0 0 array )( +1 0 0) & = ( array ccc ^2-1 & 0 & 0 0 & 0 & 0 0 & 0 & 0 array ) & aligned