If `0^(0)

If A=[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)] then (A) A^2=I (B) A^2=0 (C) A^3=0 (D) none of these

If x ,\ y ,\ z are non-zero real numbers, then the inverse of the matrix A=[x0 0 0y0 0 0z] , is [x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (b) x y z[x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (c) 1/(x y z)[x0 0 0y0 0 0z] (d) 1/(x y z)[1 0 0 0 1 0 0 0 1]

If A=[(0,2),(0,3)] and B =[(2,5),(0,0)] then AB =[(0,0),(0,0)]

If A= [(0,1,1),(0,0,1),(0,0,0)] is a matrix of order 3 then the value of the matrix (I+A)-2A^2(I-A), where I is a unity matrix is equal to (A) [(1,0,0),(1,1,0),(1,1,1)] (B) [(1,-1,-1),(0,1,-1),(0,0,1)] (C) [(1,1,-1),(0,1,1),(0,0,1)] (D) [(0,0,2),(0,0,0),(0,0,0)]

If, E=[(0,1,0),(0,0,1),(0,0,0)]and F=[(0,0,0),(1,0,0),(0,1,0)] calculate the matrix product EF & FE and show that E^(2)F+FE^(2)=E .

" if " f(0) = |{:(sin 0 ,,cos 0,,sin 0),(cos0,,sin0,,cos0),(cos0,, sin 0,,sin 0):}| then

If A={:[(0,0,0),(0,0,0),(1,0,0)]:} , then

If A={:[(a,0,0),(0,a,0),(0,0,a)],:}" then: "|A|*|adj.A|=