Upper and lower triangular matrices — Krista King Math | Online math help
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Upper and lower triangular matrices — Krista King Math | Online math help
Upper triangular matrices are matrices in which all entries below the main diagonal are 0. The main diagonal is the set of entries that run from the upper left-hand corner of the matrix down to the lower right-hand corner of the matrix. Lower triangular matrices are matrices in which all entries abo
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SOLVED:Prove that (a) the inverse of an invertible upper triangular matrix is upper triangular. Repeat for an invertible lower triangular matrix. (b) the inverse of a unit upper triangular matrix is unit upper triangular. Repeat for a unit lower triangular matrix.
SOLVED:Prove that (a) the inverse of an invertible upper triangular matrix is upper triangular. Repeat for an invertible lower triangular matrix. (b) the inverse of a unit upper triangular matrix is unit upper triangular. Repeat for a unit lower triangular matrix.
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1. Prove these facts, needed in the proof of Theorem 2. a. If U is upper triangular and invertible, then U^-1 is upper triangular. b. The inverse of a unit lower triangular matrix is unit lower triangular. c. The product of two upper (lower) triangular matrices is upper (lower) triangular.
1. Prove these facts, needed in the proof of Theorem 2. a. If U is upper triangular and invertible, then U^-1 is upper triangular. b. The inverse of a unit lower triangular matrix is unit lower triangular. c. The product of two upper (lower) triangular matrices is upper (lower) triangular.
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SOLVED:Prove that (a) the inverse of an invertible upper triangular matrix is upper triangular. Repeat for an invertible lower triangular matrix. (b) the inverse of a unit upper triangular matrix is unit upper triangular. Repeat for a unit lower triangular matrix.
SOLVED:Prove that (a) the inverse of an invertible upper triangular m…
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1. Prove these facts, needed in the proof of Theorem 2. a. If U is upper triangular and invertible, then U^-1 is upper triangular. b. The inverse of a unit lower triangular matrix is unit lower triangular. c. The product of two upper (lower) triangular matrices is upper (lower) triangular.
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