Question

Given the matrix A and its reduced row echelon form R, answer the following questions. A= 10 20 3 4 1 1 60 7 6 11 6 1 10 10 2 1 8 2 16 18 R= 1 0 2 0 3 4 0 14 0 4 2 000134 000000 Find a basis for the column space of A and the row space of A. Basis for column space of A: with a comma-separated list of vectors enclosed with braces { } Use vector notation <21,22,..., Im >. Express your basis using set notation Use vector notation<11,12,..., In >. Express your basis using set notation with Basis for row space of A: a comma-separated list of vectors enclosed with braces {}. Calculate each of the following. rank(A) = nullity(A) = nullity (AT) - o Find a vector of R6 not belonging to null(A): Use vector notation <11,12,...,16 >.

Answer 1

Maden 11.2019 Output: DC 5V-2120C57-24 Micro USB Type-Cinc-DC 56-23 Capac 10000 Kode Neficze -7300753 EC 60950-1 2005 573252 12010 level of Baris of column sporce And pivot l'in each column in R. column 1, 2 and 4 have pirat at entry each columm. Column 0 6 - space: 2 2 7 Row space all Row space non zero roues in R. 0 34 0 1 4 0 4 2 1 02 O O 1 3 4 3 Rank = Now of nowe - No. of no zero novos 4001 - Nulity No. of Columns - Rank 62 3=3 Srirapan

(PAGE NO IDATE 2 - - c. 8 coooo 2 7 46 10 16 10 18 Reduced form of AT 1 0 0 1 D O-1 1 2 O o 0 0 0 0 Oo oo NW Rank No. of laws - No. of zero roues 603 = 3. a No. of colum - Rank - Null A= x + 3y +42=0 x= -34-42 zo v- 40 + 4 4 + 2 2 2 V = 40-44 +22 N = 2W-24 tz. 4+20 +34442-0 y = -20 -34-42 Shrilorapa please Upvote!