Evaluate the following: ` |[1,x,y],[1, x+y, y],[1, x, x+y]| `

Evaluate det[[1,x,y1,x+y,y1,x,x+y]]

Solve the followings : [(x + 1/y)^a (x - 1/y)^b] div [(y + 1/x)^a (y - 1/x)^b] is equal to :

Solve the following : [(x + 1/y)^a (x - 1/y)^b] div [(y + 1/x)^a (y - 1/x)^b] is equal to

Find the value of the "determinant" |{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|

Find x and y if [[x+y,2],[1,x-y]]=[[3,2],[1,7]]

If graph of y=(x-1)(x-2) is then draw the graph of the following (i) y=|(x-1)(x-2)| (ii) |y|=(x-1)(x-2) (iii) y=(|x|-1)(|x|-2) (iv) |(|x|-1)(|x|-2)| (v) |y|=|(|x|-1)(|x|-2)|

Let Delta(x,y)=|(1,x,y),(1,x+y,y),(1,x,x+y)| Then Delta(-3,2) equals

Use properties of determinants to evaluate : |{:(x+y,y+z,z+x),(z,x,y),(1,1,1):}|