I could not find the problem that you are stating in the video lecture

On Thursday, March 21, 2024 at 9:21:52 PM UTC+5:30 [email protected] 
wrote:

> Can you please specify what purpose you are using it for. I do not know 
> its use yet but would like to get back to you after researching on its 
> usage .
>
> _ _ _ _ _ _ _  
> Shishir
>
> On Tuesday 19 March 2024 at 22:54:42 UTC+5:30 [email protected] wrote:
>
>> Can anyone help me with this, please?
>>
>> On Mon, Mar 11, 2024, 06:06 Giovanni Sutanto <[email protected]> 
>> 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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>>> .
>>>
>>

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