Matrices Lecture 3

If A and B are square matrices of order 3, then

If A and B matrices commute then

A and B are two non-singular square matrices of each 3xx3 such that AB = A and BA = B and |A+B| ne 0 then

If D_(1) and D_(2) are two 3x3 diagnal matrices where none of the diagonal elements is zero, then

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 A and B are matrices of order 3 and |A|=5,|B|=3 , the |3AB|

If A and B are two square matrices of order 3xx3 which satify AB=A and BA=B , then (A+I)^(5) is equal to (where I is idensity matric)

If M and N are orthogonal matrices of order 3, then which of the following is (are) orthogonal matrix?

Consider the set A of all matrices of order 3 xx 3 with entries 0 or 1 only. Let B be the subset of A consisting of all matrices whose determinant is 1. Let C be the subset of A consisting of all matrices whose determinant is -1. Then which one of the following is correct ?

If A and B are square matrices of order 3 such that |A|=-1 , |B|=3 , then find the value of |3A B| .