Question

1. If X andY are two matrices of order 2 X n and 3 X k respectively, then write
the condition for the product XY to be defined.
2. If A and B are square matrices of order n, then write the order of product AB.
3. If I is identity matrix, then find, I", where nE N.

Answer 1

if a Matrix  of order m * n  is multiplied by Matrix of order n * k then Resultant Matrix will be of order  m * k  

Step-by-step explanation:

X and Y are two matrices of order 2 X n and 3 X k respectively

if a Matrix  of order m * n  is multiplied by Matrix of order n * k

then Resultant Matrix will be of order  m * k  

to multiply X  &  Y    

n = 3    and resultant matrix will  be of order  2 X k

and to multiply   Y  & X

k = 2  and resultant matrix will be of order  3 X n

A and B are square matrices of order

then AB  is also a square matrix of order n

as n * n   multiplied by n * n    =  n * n

An identity matrix is a square matrix

where  1  is on the main diagonal,

0   everywhere else.  

also called unit Matrix      

n can take any value

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