Question

Question 17 (2 points) Let A be a 3 x 4 matrix with a column space of dimension 2. What is the dimension of the row space of A? Not enough information has been given. O 1/2 3 2.

Answer 1

sshition G we schow that the weetör egliation of plane. passing through a point à und rusmeel to ñ is (8 - ā). ñ = 0 Oy Apply Ano a Here, to le $0. d. nag. a = – 21+ 4) 452 na 41 +99-5 as å ha ä. F: (41+33-st) 493.445458). (aka sita on Cataja 5k) = -8 48-25 (a +38 +78). (afu5-5*)s -25 1444 4x tay - 52 +25= 0 Required equation of plane 380 option

# 14 (1, 2) and (t.-4) in linearly dependent if k (-42) = (1-4) T akat akand kang to-K=-(-2)=2 tunce. 12=2 #15) (W (X, X, )+ (4,9%) = ( 9%,+24,5 Mg +4x) Now, 1 (4,4%) + (Mon Me) = (44, 45% 40 + y) 1 ( 2 Xi+29, , Moty) it in commutative. (1) (9.49) + (xx*) = (4,4 8, 4199 +4,-1) - (MAYIt, Net , -1) it in commutative. 1 (ii) (1, 9g) + (11) = (9,44 g ) = (hy, MgY2). it is commutative.

(iv) (You le )+ (%, Mg) = (y,AY, , Matme) (an Anq Title it in Not commutativer tunce, it is not a subspace. #16) - 2 -1 D 12 4. 2 1 2 3 Ro-the9 R2 R₂ ~ R3 - Ry 2 0 A 0 0 4 gafa- 2 -1 0 14 0 0 Matrin han two non-zero Rown, ... Rank (A)=2