Upper and lower triangular matrices — Krista King Math | Online math help
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The product of two lower triangular matrices is again lower triangular (all its entries above the main diagonal are zero). Confirm this with a 3 by 3 example, and then explain how it follows from the laws of matrix multiplication. | Numerade
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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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