Prove that every unit lower triangular matrix isinvertible and that its inverse is also
Chapter 3, Problem 3.4.30(choose chapter or problem)
Prove that every unit lower triangular matrix isinvertible and that its inverse is also unit lowertriangular.An LDU factorization of a square matrix A is a factorizationA LDU, where L is a unit lower triangular matrix,D is a diagonal matrix, and U is a unit upper triangularmatrix (upper triangular with 1s on its diagonal). InExercises 31 and 32, find an LDU factorization of A.
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