Question

Matrix P has 2x-1 rows and x-2 columns and marix Q has 10-y rows and 16-3y columns. If PQ and QP both exists find the value of x and y

Answer 1

Since PQ exists,

=>x-2=10-y.

=>x+y=12 ............(1)

Since QP exists,

=>16-3y=2x-1.

=>2x+3y=17 ...............(2)

Solving (1) and (2), we get,

x=19 and y=-7.

Hence order of matrix P=37×17

and that of Q=17×37.