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## Homework Statement

I have a vector space (dim=2) with given basis (x1,x2), and a metric Q=[-1,0;0,1] (Minkowsky metric). Now i perform a transformation on the basis of the form y1=y1(x1,x2), and y2=y2(x1,x2)..the transformation is linear, and the determinat of its matrix is equal to 1.

Does the metric changes?...in that case, how can i find the coeficients of the metric tensor? (coeficients of the matrix)?

Hope i explained myself good enough.

## Homework Equations

I don't know if i need to specifie more about the transformation. i think to say that its linear, and detT=1 will suffice.

## The Attempt at a Solution

I tryed to go to the definition of the components of the metric tenzor...which will satisfy the equation: [Qij=(yi,yj), where the symbol (.,.) means scalar product.

But of course i don't know how tot ake the scalkar product...i mean..should i use the old metric?

Im really lost here..i don't know what to do...

Thx in advance