CONJECTURE A triangular matrix is a square matrix with all

Chapter , Problem 105

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CONJECTURE A triangular matrix is a square matrix with all zero entries either below or above its main diagonal. A square matrix is upper triangular if it has all zero entries below its main diagonal and is lower triangular if it has all zero entries above its main diagonal. A matrix that is both upper and lower triangular is called diagonal. That is, a diagonal matrix is a square matrix in which all entries above and below the main diagonal are zero. In Exercises 101104, you evaluated the determinants of triangular matrices. Make a conjecture based on your results.

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