[" (16) Let "A=[[-1,1],[0,-2]]" is able to express as "B^(3)+C^(3)" where "B,C" are two matrices then the value of "],[|" trace of "B+" trace of "C|=_(0)]

Let A=[[1, 2], [3 , 4]] and B = [[a, b],[ c, d]] be two matrices such that they are commutative and c ne 3 b then the value of |(a-d)/(2 b-c)| is

[quad A=[[a,0,1],[0,b,2],[-1,0,c]]" ,where "a,b,c" are "],[" Let "],[" positive integers.If "tr(A)=7" then "],[" greatest value of "|A|],[" (Note "tr(A)" denotes trace of matrix) "]

[" Consider the system "AX=B" ,where "A=[[1,1,-1],[2,1,1],[3,2,2]],X=[[x],[y],[z]],B=[[-1],[2],[3]]],[" Value of tr "(XB^(TT))" is (where "tr(A)" denotes trace of matrix "A)],[[" (a) "0," (b) "1," (c) "2," (d) "3]]

If A and B are two matrices such that A B=A and B A=B , then B^2 is equal to (a) B (b) A (c) 1 (d) 0

If A and B are two matrices such that AB=A and BA=B, then B^(2) is equal to (a) B( b) A(c)1(d)0

Let A=[[1,23,4]] and B=[[a,bc,d]] are two matrices such that they are commutative with respect to multiplication and c!=3b. Then the value of (a-d)/(3b-c)

If A is a 3 xx 3 skew - symmetric matrix, then trace of A is equal to a)-1 b)1 c)|A| d)None of these

Let A=[(1,0,3),(0,b,5),(-(1)/(3),0,c)] , where a, b, c are positive integers. If tr(A)=7 , then the greatest value of |A| is (where tr (A) denotes the trace of matric A i.e. the sum of principal diagonal elements of matrix A)