# Find the values of x and y, when Given : To find : x and y

Formula used : Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj

If A is a matrix of order a b and B is a matrix of order c d ,then matrix AB exists and is of order a d ,if and only if b = c

The resulting matrix obtained on multiplying and is of order 2 × 1 × = =  = Equating similar terms,

2x – 3y = 1 equation 1

x + y = 3 equation 2

equation 1 + 3(equation 2) and solving the above equations, x = = 2

x = 2 , substituting x = 2 in equation 2,

2 + y = 3

y = 3 – 2 = 1

x = 2 and y = 1

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