Can anyone help me with this, please?

On Mon, Mar 11, 2024, 06:06 Giovanni Sutanto <giovanni.suta...@gmail.com>
wrote:

> Hi SymPy Community,
>
> I am now trying to understand what happens when I perform WedgeProduct
> operations on SymPy.
>
> So, I understand how to use the SymPy's Wedge Product to some extent, i.e.
> I was the one who responded to the question on Stack Overflow:
> https://stackoverflow.com/questions/76981303/computing-the-wedge-product
>
> However, when I have:
> '''
> my_matrix = Matrix([[2, 0, 5], [0, 7, 0]])
> r2_r_oneforms = R2_r.base_oneforms()
> r2_r_vectors = R2_r.base_vectors()
>
> cols = [None] * 3
> for j in range(3):
>   cols[j] = 0
>   for i in range(2):
>     cols[j] += my_matrix[i, j] * r2_r_vectors[i]
>
> cols_wedge_product = WedgeProduct(*r2_r_oneforms)(*cols)
> print('cols_wedge_product = ', cols_wedge_product)
> '''
> What I get is:
> cols_wedge_product = -42
>
> Where does the number -42 come from?
>
> On the other hand, if:
> my_matrix = Matrix([[1, 0, 1], [0, 1, 0]])
> I get:
> cols_wedge_product = 0
> What computation leads to 0 here?
>
> Can any of you please explain it, e.g. in the terms of the example in the
> video lecture https://youtu.be/xRf9-hdxB0w?feature=shared&t=2961 ?
>
> Thanks so much in advance for your time!
>
>
> Best Regards,
>
> Giovanni
>
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