Question

PROBLEM SET 7.4 1-10 RANK, ROW SPACE, COLUMN SPACE Find the rank. Find a basis for the row space. Find a basis for the column space. Hint. Row-reduce the matrix and its transpose. (You may omit obvious factors from the vectors of these bases.) -b 1. 1-2 4 6 I 1 -2 3 To 0 5] [ 4 -6 07 13. 3 5 0 4.–6 0 1 [5 0 o Lo I 4 ] [2 - 1 To 07 To 4 8 1-1 0 4 2 0 4 Lo 4 of [2 4 8 16 16 0 -3 0 . 16 8 4 2 7.0 -1 0 5 8 4 8 16 2 2 0 -1 0 12 16 8 4 ] Is o I ol [52 1 07 Jo 0 -1 0 -2 0 4 11 1 1 1 1 1 -4 -11 2 O 0 1 0 0 1 2 0 1 ) Shonaynerimentally

The fourth question
Thanks for your help

Answer 1

14 1-6 -6 0 0 1 A = 1 VA) = 4 (0.4-1.1) -(-6) (-6.4-1.0) +0(-6.1-0) 4(0-1) + 6(-24-0) +o JAL = IAL = -4- 144 - 148 90 IAIS JALO 5 Genk (A) = 3 If mateix have full conk then all the Columns are lineally independent and also all the sows are linearly independent =) All the sows of mateix a work as a basis element of how space and all the columns of mateix work as a basis element of column space of A. - Basis of Row (A) = et sous {P.68).[8]} Balts of corn on = 6 Basis of column (A) =