What Are Linear Equations (LEs)? a11x1+ a12x2 三 b1 a21x1+a22x2+. 62 + 十··· 十 三 am11+am2x2+·+AmnEn =bm ●Dependence on unknowns:powers of degree≤I 。Summation form::∑1ajgj=bi,1≤i≤m,i.e,m equations Presently:m =n,i.e.,square systems (later:m n) Q:How to solve for [1 22...n]T?A:... Copyright©2011，NA⊙Yin Last Modification:Oct.2011 3What Are Linear Equations (LEs)? a11x1 + a12x2 + · · · + a1nxn = b1 a21x1 + a22x2 + · · · + a2nxn = b2 ... + ... + · · · + ... = ... am1x1 + am2x2 + · · · + amnxn = bm • Dependence on unknowns: powers of degree ≤ 1 • Summation form: Pn j=1 aijxj = bi , 1 ≤ i ≤ m, i.e., m equations • Presently: m = n, i.e., square systems (later: m 6= n) Q: How to solve for x1 x2 . . . xn T ? A: . . . Copyright c 2011, NAYin Last Modification: Oct. 2011 3