Nội dung text Lecture-4-Numerical Solutions to Linear Systems.pdf
Math Math 251 Probability Math 151 Probability 138 Numerical Analysis
Math Math 251 Probability Math 151 Probability 138 Numerical Analysis Numerical Solutions to Linear Systems
Math Math 251 Probability Math 151 Probability 138 Numerical Analysis Linear System A linear system of n linear equations in n unknowns 56, 58, ⋯ , 5:is ;6656 + ;6858 + ;6=5= + ⋯ + ;6:5: = ?6 ;8656 + ;8858 + ;8=5= + ⋯ + ;8:5: = ?8 ⋮ ;:656 + ;:858 + ;:=5= + ⋯ + ;::5: = ?= A = ;66 ;86 ;:6 ;68 ;88 ;:8 ;6= ;8= ⋮ ;:= ⋯ ⋯ ⋱ ⋯ ;6: ;8: ;:: ⇒ A5 = ? 5 = 56 58 5= ⋮ 5: ? = ?6 ?8 ?= ⋮ Coefficient ?: matrix Solution matrix