LEG. III. Sys. of Equations III.2. LU Decomposition: Consider A = 162 2 12 5 -1 -3 -1 CHEA SARUN CHEANG HOR PHENG CHEAT CHETTRA CHET SOKHPANMA CHHAY HANSTHAPA (a) Show that A does not have an LU decomposition. (b) Re-order the rows of A and find an LU decomposition of the new matrix. (c) Hence solve ₁ +6₂ +2r3 = 9 2r1 + 12r₂+5r₂ = -71-37₂-73 = 17
LEG. III. Sys. of Equations III.2. LU Decomposition: Consider A = 162 2 12 5 -1 -3 -1 CHEA SARUN CHEANG HOR PHENG CHEAT CHETTRA CHET SOKHPANMA CHHAY HANSTHAPA (a) Show that A does not have an LU decomposition. (b) Re-order the rows of A and find an LU decomposition of the new matrix. (c) Hence solve ₁ +6₂ +2r3 = 9 2r1 + 12r₂+5r₂ = -71-37₂-73 = 17
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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III.2. LU Decomposition:
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CHEA SARUN
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CHEANG HOR PHENG
Consider A =
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CHEAT CHETTRA
-1 -3 -1
CHET SOKHPANHA
CHHAY HAN STHAPNA
37
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(a) Show that A does not have an LU decomposition.
A
(b) Re-order the rows of A and find an LU decomposition of the new matrix.
(c) Hence solve
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38
r1 + Gr2 + 2r3 =
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2.r1 + 12.r2 + 5ars =
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17
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