Matrices Lecture 2

If A and B matrices commute then

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2 . A-B=B-A

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2 . A+B=B+A

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2 . (A-B)^2=A^2-2A. B+B^2 .

Seven different lecturers are to deliver lectures in seven perday. A, B and C are three oftne lectures. The number of ways in which a routine for theday canr be made such that A delivers his lecture before B and B before C, is

If [(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C , where A, B and C are matrices then find matrices B and C.