The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is:

Solution: Largest four digit number is 9999. Smallest five digit number is 10000. 9999 + 10000 = 19999

A = {x: x is a natural number} = {1, 2, 3, 4, 5 …}  B ={x: x is an even natural number} = {2, 4, 6, 8 …}  C = {x:...

It is (B) an irrational number 

We know that if A is a square matrix of order m, and if there exists another square matrix B of the same order m, such that AB = BA...

Total non-prime numbers from 1 to 10 = 6 Required probability =6/10=3/5

(a) : 7N = 1s2 2s2 3p3 15P = 1s2 2s2 2p6 3s2 3p3 In phosphorus the 3dorbitals are available.

(b) : Give A2 – B2 = (A + B)(A – B) => 0 = BA – AB => BA = AB

(d) : Let A(BA) = P Then PT = (ABA)T = ATBTAT (Transversal rule) = ABA = P Thus P is symmetric. Again, A(BA) = (AB)A by associativity. Also (AB)T = BTAT = BA =...

(c) Since each question can be selected in 3 ways, by selecting it or by selecting its alternative or by rejecting it. Thus, the total number of ways of dealing...

The characteristic of free entry and exit of firms ensures that all the firms in a perfect competitive market earn normal profit, i.e. the market price is always equal to...