Let `A = [[1,2],[3,4]]` and `B = [[a,b],[c,d]]` are two matrices such that they are commutative with respect to multiplication and `c != 3b`. Then the value of `(a-d)/(3b-c)`

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

If Aa n dB are two non-singular square matrices obeying commutative rule of multiplication then A^3B^3(B^2A^4)^(-1)A= (a)A (b) B (c) A^2 (d) B^2

Consider the matrices A=[[1,-2],[-1,3]] and B=[[a,b],[c,d]] If AB=[[2,9],[5,6]] , find the values of a,b,c,d

if a=3,b=0,c=2 and d=1 ,find the vale 3a+3b-6c+4d

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 AandB are two non-singular square matrices obeying commutative rule of multiplication then A^(3)B^(3)(B^(2)A^(4))^(-1)A=(a)A (b) B(c)A^(2)(d)B^(2)

If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all simultaneously zero) commute, find the value of (d-b)/(a+c-b). Also show that the matrix which commutes with A is of the form [(alpha-beta,(2beta)/3),(beta,alpha)]

If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all simultaneously zero) commute, find the value of (d-b)/(a+c-b). Also show that the matrix which commutes with A is of the form [(alpha-beta,(2beta)/3),(beta,alpha)]

If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all simultaneously zero) commute, find the value of (d-b)/(a+c-b). Also show that the matrix which commutes with A is of the form [(alpha-beta,(2beta)/3),(beta,alpha)]