Find the values of x and y, when

Question

Philoid · Accepted Answer

Given :

To find : x and y

Formula used :

Where c_ij = a_i1b_1j + a_i2b_2j + a_i3b_3j + ……………… + a_inb_nj

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