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# The determinant of a triangular matrix is the product of the entries on the diagonal.

Put content here**Theorem:** The determinant of a triangular matrix is the product of the entries on the diagonal: $\det(T) = t_{11} \cdot t_{22} \cdots t_{nn}$. This follows from cofactor expansion or from the fact that the eigenvalues of a triangular matrix are its diagonal entries and $\det(A) = \prod \lambda_i$.

# Parents

* Particular types of matrices