" If "x=[[-1,3,5],[1,-3,-5],[-1,3,5]]," aly "

If A=[[-1,3,5],[1,-3,-5],[-1,3,5]] Show that A^2=A.

If A=[[-1,3,5] , [1,-3,-5] , [-1,3,5]] then find A^3-A^2

Fiven the matrix A= [[-1,3,5],[1,-3,-5],[-1,3,5]] and X be the solution set of the equation A^(x)=A, where x in N -{1} . Evaluate prod((x^(3)+1)/(x^(3)-1)) where the contincued extends for all x in X .

Fiven the matrix A= [[-1,3,5],[1,-3,-5],[-1,3,5]] and X be the solution set of the equation A^(x)=A, where x in N -{1} . Evaluate prod((x^(3)+1)/(x^(3)-1)) where the contincued extends for all x in X .

If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}] , then find A^(3)-A^(2) .

Given the matrix A=[(-1,3,5),(1,-3,-5),(-1,3,5)] and X be the solution set of the equation A^x=A where x in N-{1} . Evaluate Pi((x^3+1)/(x^3-1)) where the continued product extends AA x in X

If A=[(2 ,-3, -5), (-1, 4, 5),( 1, -3 ,-4)] and B=[(-1, 3, 5), (1,-3, -5) , (-1, 3, 5)] , show that A B=B A=O_3xx3 .

find the real value of x for which the matrix =[(x+1,3,5),(1,x+3,5),(1,3,x+5)] is non-singular.

find the real value of x for which the matrix =[(x+1,3,5),(1,x+3,5),(1,3,x+5)] is non-singular.