A matrix X has a + b rows and a + 2 columns. Both matrices XY and XX exist. Find 'a' and 'b'. Can you say XY and YZ are fo the same type? Are they equal?

If A is a 3xx4 matrix and B is a matrix such that A'B and BA' are both defined, then B is of the type

If y = a log x + bx^2 + x has its extreme values at x = -1 and x = 2, then find a and b.

If A and B are matrices of same order, then (3A-2 B) is equal to ……

If A is a non - zero column matrix of order m xx 1 and B is non - zero row matrix of 1 xx n thhen rank of AB equals : .

If A and B are two matrices of the order 3xx m and 3 xx n respectively and m = n, then the order of the matrix 2 A - 5 B is

Fill in the blanks: If A and B are matrices of the same order than (3 A - 2B)' is equal to ……… .

Observe that 2 xx 3+ 1 = 7 is a prime number. Here 1 has been added to a multiple of 2 to get a prime number. Can you find some other numbers of this type.

A factory owner purchases two types of machines, A and B fo his factory. The requirements and the limitation for the machines are as followes : He has maximum area of 9000 m^2 available, and 72 skilled labourers who can operate both the machines. How many machines of each type should be buy to maximise the daily output ?

In Fig. lines XY and MN intersect at O. If anglePOY = 90^@ and a : b = 2 : 3 , find C.

In fig. lines XY and MN intersect at O. if anglePOY=90^@ and a:b=2:3, find c