The Total solution for NCERT class 6-12
Solve system of linear equations, using matrixmethod.
Answer - 11 : -
The given system of equations can be written inthe form of AX = B, where
Thus, A is non-singular.Therefore, its inverse exists.
x − y + z = 4
2x + y − 3z =0
x + y + z = 2
Answer - 12 : -
2x + 3y + 3z =5
x − 2y + z = −4
3x − y − 2z =3
Answer - 13 : -
The given system of equations can be written inthe form AX = B, where
x − y + 2z = 7
3x + 4y − 5z =−5
2x − y + 3z =12
Answer - 14 : -
If, find A−1.Using A−1 solve the system of equations
Answer - 15 : -
Now, the given system of equations can bewritten in the form of AX = B, where
The cost of 4 kg onion, 3 kg wheat and 2 kg riceis Rs 60. The cost of 2 kg onion, 4 kgwheat and 6 kg rice is Rs 90. The cost of 6 kgonion 2 kg wheat and 3 kg rice is Rs 70.Find cost of each item per kg by matrix method.
Answer - 16 : -
Let the cost of onions, wheat, and rice per kgbe Rs x, Rs y,and Rs z respectively.
This system of equations can be written in theform of AX = B, where
Now,
X = A−1 B
Hence, the cost of onions is Rs 5 per kg, thecost of wheat is Rs 8 per kg, and the cost of rice is Rs 8 per kg.