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.
Answers
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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