Ncert Solutions Maths class 12th
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66. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is `60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is `90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is `70. Find cost of each item per kg by matrix method.
66. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is `60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is `90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is `70. Find cost of each item per kg by matrix method.
Let k, y and z be the cost per kg of onion, wheat and rice. Then, we form a system of equations as follows
4k + 3y + 2z = 60
2k + 4y + 6z = 90
6k + 2y + 3z = 70
In matrix form we can write,
AX = B
= 0 -
Upvote 
The given system of eqn can be written in matrix form as
AK = B
∴ x= 2, y = 1 and z = 3 .
Upvote The given system of equation can be represented in matrix form as AK = B
Upvote The given system of eqn can be written in matrix form as AK = B.
Upvote The given system of solution in matrix form is AK = B.
Upvote The given system of equation in matrix form is
AK = B
Upvote The given system of eqn can be written in matrix form as
AK = B
Upvote The given system of eqn in matrix form is AK = B
Upvote The given system of eqn in matrix form is AK = B.
Then, |A| = 5 x 3 - 7 x 2 = 15 - 14 = 1 ≠ 0
∴ The system has a unique solution.
∴ k = 2 and y = -3
Upvote