Asha has an orphange. She went to market daily to purchase food items to meet the daily requirement of children. One fine day, she bought 4 kg onion, 3 kg wheat and 2 kg rice. It cost her Rs 60. Next day, she bought 2 kg onion, 4 kg wheat and 6 kg rice. It cost her Rs 90. Another day, she bought 6 kg onion, 2 kg wheat and 3 kg rice which cost Rs 70

If AX = B is the matrix form of the system of linear equations formed from the given situations, then the determinant of matrix A is:

Options

A. `-130`
B. 50
C. 130
D. `-50`

Answer

B