Question

Linear Algebra. Question 11. Thanks for helping!

2 3 -2 -4 64 46 4 5 -4 9 2 -4 4 5 M-3 6 6 -4 Given -2 -4 491 & 11- Find basis for row space ofM, &M2 R(M)&R(M2) N(M)& N(M2) Find basis for Nullity ofM,&M, Show that R(M)&RM) are orthogonal N(M)&N(M;) Show that the column space of M, is the same as row space ofM Show that the column space of Mi Is orthogonal to Nullity ofM What is the relation between Column Space ofM. to Nullity ofM,

Answer 1

Solution -24 4 5 Mi 1 22 5/2 3 6 6 2 -4 49 1 2 52 I 2 2 This is tw Yow-reduced echelon form ơe M1 1,2,) (0, 0,0 Q(M)

System be eoma Two eauation with four unxnowns we chetse (4mriale nmgitrary ert 2 3 2 -6 4 4 1 311 5 49 1 3 러'L

2. 不下2 - 0 0 0 Since. (1/2/-2,0) , ( 2,叭10) 11,21-7(0), (-1,1,0,0