which of the following is/are correct. (i) A and B are commutative (ii)AB is a null matrix.

If A=[{:(1,1,-1),(2,-3,4),(3,-2,3):}]and B=[{:(-1,-2,-1),(6,12,6),(5,10,5):}] then which of the following is/are correct ? 1. A and B commute. 2. AB is a null matrix. Select the correct answer using the code given below :

If * is a binary operation in N defined as a*b =a^(3)+b^(3) , then which of the following is true : (i) * is associative as well as commutative. (ii) * is commutative but not associative (iii) * is associative but not commutative (iv) * is neither associative not commutative.

Let '*' be a binary operation defined on Q. Find which of the following binary operations are commutative : A*b = a + ab , for a,b in Q

Let ** be the binary operation defined on Q. Find which of the following binary operations are commutative. a**b=a+ab, AA a,b in Q

Let '*' be the binary operation on Q. Find which of the following binary operatoins are commutative : a*b = a + ab AA a,b in Q

Which of the following is a symmetric matrix? (A) a null matrix (B) a triangular matrix (C) an idenity matrix (D) a diagonal matrix

Which of the following is a symmetric matrix? (A) a null matrix (B) a triangular matrix (C) an idenity matrix (D) a diagonal matrix

Let A, B, C be nxxn real matrices that are pairwise commutative and ABC is a null matrix. Show that det(A + B + C) det (A^3+ B^3 + C^3) geq0,

If A and B are two matrices such that their product AB is a null matrix, then