Q. 235.0( 1 Vote )

# Two schools P and

We have,

3x+2y+z=1000

4x+7+3z=1500

x+y+z=600

The given system of equations can be written as AX = B ,

Where

Now, |A| = = 3(1-3)-2(4-3)+1(4-1)

=-6-2+3 = -8+3 = -5 ≠ 0

So the given system of equation has a unique solution given by

X =A-1B

Co-factors are ,

Similarly we can find all co-factors

C11 = -2 , C12 = -1, C13 = 3

C21 = -1 , C22 = 2, C23 = -1

C31 = 5 , C32 = -5, C33 = -5

Now, X =A-1B

x = 100, y=200 and z=300

i.e Rs. 100 forDiscipline, Rs. 200 for Politeness and Rs. 300 for Punctuality.

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