The value of `|[a-b,x-y,p-q],[b-c,y-z,q-r],[c-a,z-x,r-p]|` is

" 1."|[a-b,b-c,c-a],[x-y,y-z,z-x],[p-q,q-r,r-p]|" is equal to "

If |[a, p, x],[ b, q, y], [c, r, z]|=16 , then the value of |[p+x, a+x, a+p], [q+y ,b+y, b+q],[ x+z, c+z, c+r]| is 4 (b) 8 (c) 16 (d) 32

The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a.-1 b. 0 c. 1 d. none of these

Prove that the value of each the following a=bquad b-cquad c-ax-y,y-z,z-xp-q,q-r,r-p]|

If |[p,q-y,r-z],[p-x,q,r-z],[p-x,q-y,r]|=0 find the value of p/x+q/y+r/z

If A = [[a,b,c],[x,y,z],[p,q,r]], B= [[q , -b,y],[-p,a,-x],[r,-c,z]] and if A is invertible, then which of the following is not true?

If A=[(a,b,c),(x,y,x),(p,q,r)], B=[(q,-b,y),(-p,a,-x),(r,-c,z)] and If A is invertible, then which of the following is not true ?

Let A= [[a,b,c],[p,q,r],[x,y,z]] and suppose then det (A) = 2, then det (B) equals, where B = [[4x,2a,-p],[4y, 2b, -q],[4z, 2c, -r]]