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MTH 141 (40)
Lecture 11

# MTH 141 Lecture 11: MTH141-sec3.4 Premium

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School
Ryerson University
Department
Mathematics
Course
MTH 141
Professor
Majed Alqasas
Semester
Fall

Description
g tems an Rank ecrem... Act A be mxn matrix Sef R AX a subspaa R Spa Co Spa t 2.X1 STX aramet, Rank. 3X s X 6 S Gene S. 3 -5S S -5 6 S as lin vectas Ut 2 X 3 X 2-X 2 3 X 2 S 3 t g tems an Rank ecrem... Act A be mxn matrix Sef R AX a subspaa R Spa Co Spa t 2.X1 STX aramet, Rank. 3X s X 6 S Gene S. 3 -5S S -5 6 S as lin vectas Ut 2 X 3 X 2-X 2 3 X 2 S 3 twe have LLY): AX 、Xeg" sJulun vect. x L仅ks is tL Sah. Slutoni A 习乂SLCL tht L0Dzwas assbspa a "울 R. しectas X Such that L仅)-。 Also kernely L: ker(L) Nulla)- . lef 正%[i1万n/ th hak spaai Rya、R-R r. Hill [1] llur hay null (L) ? D22%raatheaoE. 킁 jmer, x,-kew ヲX Xe at Yet χst Null (L)-span { 5nJ Null tL) /deru (l).? L(x)so当 [2%-XL 제-XL 1-1 07-s 2%->(1 [n :1wij:i:1JKrLi...l虯. :I삐:1 由x--3 埘> Gened sat.,r:rk,):f-14-, x-fol:o 由K-", 矽 ewel sh-RI'l:l' 궂 Null (L):-} fwto we have LLY ) : AX 、 Xeg " sJulun vect . x L 仅 ks is tL Sah . Slutoni A 习 乂 SLCL tht L0Dzwas assbspa a " 울 R. し ectas X Such that L 仅 ) - 。 Also kernely L : ker ( L ) Nulla ) - . lef 正 % [ i1 万 n / th hak spaai Rya 、 R - R r . Hill [ 1 ] llur hay null ( L ) ? D22 % raatheaoE . 킁 jmer , x , -kew ヲ X Xe at Yet χst Null ( L ) -span { 5nJ Null tL ) / deru ( l ) . ? L ( x ) so 当 [ 2 % -XL 제 -XL 1-1 07 - s 2 % - > ( 1 [ n : 1wij : i : 1JKrLi ... l 虯 . : I 삐 : 1 由 x -- 3 埘 > Gened sat . , r : rk , ) : f - 14- , x - fol : o 由 K- " , 矽 ewel sh - RI'l : l ' 궂 Null ( L ) : - } fwto2 S Che and whet h gen haney 3 X +2. 5 S 2. S Gen Sel Solutia spaa. Par 2 I-2 2-2 X 2-2 S 2 S Che and whet h gen haney 3 X +2. 5 S 2. S Gen Sel Solutia spaa. Par 2 I-2 2-2 X 2-2 Sis apart chlar Solw an ye a hnear mappin 2.R R deline k 3 X L. O AX 12. X Col AJ an A X -2 is apart ch
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