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33., , 34., , 36., , 38., , 39., , 40., , A, , In an inner Product space V (®) a,Bev (@A)=, 2086 expose v (F) Sa, peV & (z)(@) (a, 8) () (6,a) © @A) o°, , In the inner product space V(F) 0, aeV (0, a)=, , V (F) oases erZobrsos® 0, aeV % (0.¢), (a) «@ 6 © 0 @ 1, , If a=(-1,0,1), #=(2,0,-2) then ]a+f]=, , (a) 0 © ) 1 () 2 @ 2, If T (a,b,c) =(8a,a-b, 2a +b +c) ¥ a, bce V; (R) then T"' =, , (a) (2.$-ar-poa] (b) (2.2.4), , © (2.8-a7] . ) (22-2 r+p+a), , Let T: R® -» R® be defined by T (a, b,c)=(0, a,b) then, , T (2,6, c)=(0, 0,6) 88 T:R® > RB pase T?=, , (a) 0° (b) (00,6) © (0,4) (a). (0,0, a), , The vectors (a,,6,) and (a2, 6,) in V, (I) are LD iff, (1,4) S28¥29' (a,b) 09 V2 (F) 5 9649S aos ad aw vgs owroo iff, , (eS¥Sors{coSA), (a) aby - a,b, =0 (b) 02 ~ by = 0, () aby - a,b, +0 (A) aby + 056, =0, , Which of the following vectors are L.D?, , 208 TIE OB awe2r origbowsn (mverdorGsav), , (a) {0,0} (0,1)} ©) {11.0.0} 0,1, 0), 0,0, v}, © {(.3,2)(,-7, -8) (21, -1} @ (0,2.0),00,3,1)-1,0,1), , If WcV and V (F) is vector space then, , WV 380% SBrobo ww VS W2d drosrodv vad, , (a) dimV <dimW (b) dim V = dim yy, (c) dim W <dimV @) dim W<dim y, , a, , Test No. : 112, [P.T.0}, , Scanned with CamScanner