线性代数MIT课程笔记_手稿

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线性代数MIT课程笔记,按照麻省理工学院Gilbert Strang教授主讲的课程流程排列,有别于整理版
03| 0000 r3=b [122 0了 / So/uton A=了 0齐次 A不=m+叶 ClA)= Span s alum vector onf pivot olumn Ce):50 Moreover 3/0 0| Complete soluton o A=B=Cm人3=2 [A rr fiA I M-Y 01a.00 0……a r r h-Y MM尺CA)=F 099 Ca9e|:R=工 Y尺[A)m=n H川 ank invertible silu Case 2:R[I, F)rank (A)=men full ow rank) 行竭 C +千 CF又 as solutions Case s:R= I Itall& thin 00y1s rank(A)=r=nem 列满积1L column ranK Case 4 R=L hot fill rank 00 mwm0)=y∠mn k<刀 000oS 然:A=B a b 969(a →12104 8|-6-002%-6 0028-6 0000。 [20 0(q .00|0 也2 F 交捩引 x+282-48=7 为+=-3 1 7-22+4X |-2~x x4 2 十 千b R a2=root Co Pool. t( neer n dependence A family of vectors v-.atv s called hi'heayly independent [87+…+ hV九 0D1 happer Wn3…=1不院 cannot be writteh as a inear 0 mbination of v-… 0 a Acl Aao alums of A is lineary dependent 81A,+…+Ay 0 has non]ero solution ∠>A3=1m5m2hbn e> Ml( LA)+2 fog △-)anR(A)<h ro perly: Columns of a 1571e2 dependent=)形a1mnmh columns lineary independent E>rark( )=n>a invertible A=705020tm

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