When the LU factorization exists, we have
Proof: Use and the property of the determinant:
For a triangular matrix, the determinant is the product of the diagonal entries. has 1 along its diagonal.
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Dec 14, 2023, 1 min read
When the LU factorization exists, we have
Proof: Use A=LU and the property of the determinant:
For a triangular matrix, the determinant is the product of the diagonal entries. L has 1 along its diagonal.