Q. 1 E5.0( 1 Vote )

# Solve the following system of equations by matrix method:3x + 7y = 4x + 2y = – 1

The above system of equations can be written as or AX = B

Where A = B = and X = |A| = 6 – 7 = – 1

So, the above system has a unique solution, given by

X = A – 1B

Let Cij be the cofactor of aijin A, then

C11 = (– 1)1 + 1 2 = 2

C12 = (– 1)1 + 2 1 = – 1

C21 = (– 1)2 + 1 7 = – 7

C22 = (– 1)2 + 2 3 = 3

Also, adj A = = A – 1 = A – 1 = Now, X = A – 1B    Hence, X = – 15 Y = 7

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