- #1

GingFritz

- 3

- 0

- Homework Statement
- Hi! I need help with my homework.

I need to prove that the matrix below is a tensor.

- Relevant Equations
- ## T'_{ij} = T_{rs}\frac{\partial x^r}{\partial x'^{i}}\frac{\partial x^s}{\partial x'^{j}} ##

I have the matrix

$$

A = \left(\begin{array}{cc}

y^2 & -xy\\

-xy & x^2

\end{array} \right)

$$

I know that to prove that the matrix is a tensor, it transform their elements in another base. But I still without how begin this problem.

Help please! Thanks.

$$

A = \left(\begin{array}{cc}

y^2 & -xy\\

-xy & x^2

\end{array} \right)

$$

I know that to prove that the matrix is a tensor, it transform their elements in another base. But I still without how begin this problem.

Help please! Thanks.