If A=`[[a,b],[-b,a]]` B=`[[a,b],[b,a]]` then find (AB)

If A=[[a,b],[-b,a]], B= [[-a, b],[-b, -a]] then find A+B

If A=[[1, 0],[ 0,-1]] and B=[[0 ,1], [1, 0]] , then find AB,BA. Show that 'A B!=B A .

If A=[[0 ,c,-b],[-c, 0, a],[ b, -a, 0]] and B=[[a^2, ab, ac],[ ab, b^2 , bc],[ ac ,bc, c^2]] , show that A B=B A=O_3xx3 .

If A=[a_(ij)]_(mxxn) and B=[b_(ij)]_(nxxp) then (AB)^\' is equal to (A) BA^\' (B) B\'A (C) A\'B\' (D) B\'A\'

Given A=[{:(,3,0),(,0,4):}], B=[{:(,a,b),(,0,c):}] and AB=A+B, find the values of a,b and c.

Prove: |[a^2, 2ab,b^2],[b^2,a^2, 2ab],[2ab,b^2,a^2]|=(a^3+b^3)^2

a* b =ab+1 AA a,b in R then:

Matrices A and B Satisfy AB = B^(-1) , where B =[{:(2,-2),(-1,0):}] , find the value of lambda for which lambdaA - 2B^(-1) + 1=O , Without finding B^(-1) .

If tanx=(b)/(a) , then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)/(a+b)).

If tanx=(b)/(a) , then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)/(a+b)).