Can you take the determinant of a mxn matrix where m>n

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The determinant of a matrix is only defined for square matrices, meaning the number of rows must equal the number of columns (m=n). In cases where the number of rows exceeds the number of columns (m>n) or where the number of columns exceeds the number of rows by more than one (n>m+1), the determinant cannot be calculated. This conclusion is supported by standard definitions found in linear algebra textbooks.

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charlies1902
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Number of rows>number of columns.

Just out of curiosity, I've never seen this done before. I don't even know how if it were possible.



Same with an mxn matrix where n>m+1. I don't think you would be able to find the determinant of this either.
 
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No, the operation is not defined.
 
charlies1902 said:
Number of rows>number of columns.

Just out of curiosity, I've never seen this done before. I don't even know how if it were possible.



Same with an mxn matrix where n>m+1. I don't think you would be able to find the determinant of this either.

If you look up the definition of matrix determinant in your textbook, you'll see the answer fairly quickly!:wink:
 

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