Upper and lower triangular matrices — Krista King Math | Online math help
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Prove that the product of two lower-triangular matrices is lower-triangular. Prove that the determinant of a lower-triangular or upper-triangular matrix is equal to the product of its diagonal elements. Prove that the inverse of a lower-triangular matrix, if it exists, is lower-triangular. | Numerade
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A square matrix A is called lower triangular if its transpose A^T is upper triangular. Use this definition, results of the previous problem, and properties of matrix transposition to show that the sum and product of lower triangular matrices are also lower triangular. | Numerade
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