Punjab Engineering College 2010 B.E Quiz on vector space chapter - Question Paper

Qni/ I ( MA 102) Set A M- Marks: (5) _rime:

Roll Nof - - _r0Up

I* V - R¹ with # and 0 defined as (a.hjdc.d) (afb , c + d) and k 0(ti,b) (ki _t kS>)

*pace over R ? Jusnf> your answer

f)oc* the set W of all matrices A_xm such that A²"' A form a vector subspiiee ol the '*et of nil rrMati Justify your answer

*1*! ***⁵ dimension of the ha.sis of the suhspace W of Fj cotrsistinu of all vet. ton of ilw

NVt*d,c-4 b <j.:

Doe* (2,'5.3) Spr; I ..1.2 U2.-4.-l ).< 1,-5,7)} Justify your onsuer.

^ntelj ] ** a hnear combinaiHm of S Jp     *II ymmetnc mmncct vf Order 2 x 2 ^,}    10 0 1