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Homework Statement
The transformation f is defined by: R^2 --> R^2 and is defined by:
f(x,y) = (y^5, x^3)
Find the jacobi matrix and its determinant
Homework Equations
f(x,y) = (y^5, x^3)
The Attempt at a Solution
I would start by differentiating y^5 with respect to x and then y, then differentiate x^3 with respect to x and then y.
I end up with:
Df = (0... 5y^4 )
...(3x^2... 0 )
And from here I don't know what to do. Usually I would be told, that Df = (2,1) for example, and then I would place them instead of y and x, but here I am not given any other information than what I have written above. How do I find the determinant?