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.. . eh

Coda No.: $itTE3tt&.

Answer a$ questionsi*this section

\_-1

? SULIT

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: :: : .r ; . : . r r: ,e r

Code No.: MTE31,103. which of the f,oltowing rnqtrices is in reotlS'dd tgy echeton forn'r?

r, :

(?)

which of ttre following statements is fa[se about homogeneous system ofequations?

(t3l)lo o'11[oot)(1 o o)lo 1 1[[o o t)(t 2 o\lo o rI[o o oi)(t 3 1)lo r rl[0 0 1)

(c)

(D)

- \_l

(A)(B)(c)

(D)

The system is always coisistent.The system does not have infinitely many solutions.lf the system has.a unique solution, it must be a trivial solution,{0,0,... ,0}.A system of linear equations. is said to be homogenous if the constantson the right-hand side are all zero...

'-)-

3

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tt1

"i

Code No.: MTE3110.J. lf thiee kitograrns of apples and four kilograms of pears cost RM18, while one

kilogram of apples and two kilogranrs of pears cost RM8, what is the price perkilograrn of apples and of Peats?(A) Apples RM2lkg, Pears RM3/kg(B) Apples RM3/kg, Pears RM2/kg(C) Apples RM+lkg; Pears RM2lkg(D) Apples RM6lkg, Pears RM1/kg

Figure IRefening to Figure 1, determine the region which satisfies the inequalities3xi-y

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Code No.: MTE31107.

JL*tt-.:l h,

\4

- Figure 2

lf C = 7x + 9y, what is the minimum value of C over.theFigure 2 above?(A) 3ee(B) 55s(c) 630(D) e45

feasible region R in

t ,rll'. j . lll:::1I riit

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F

Code No.: ftrtTE3f*

8. Given 'A'&

(A)

(D) Does not exist

, i ., . . . .

.,.Fiftld,,$,* ,B *r.2e ;'

.

f 1,, Al -, l1",' t{ ' ''l-: :' rL;' ;l' * = L; j],'n+c*- ' :,i.-" a,-31I_)I-31Itl-)3l

Iz)-rlI_)t

l-2l-oi-z[+l-zLol2[+

[--11 -al, Is 7)[t -slLs t)t: :;l

.F

(B)

(c)

(D)

["r t Ie. Givenc=f,4 i 1l ,*o=l-2 zl.rinlco.- L-1 3 4J- [. _sJ(A)

(B)rd

(c)

o SI.ILIT

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i \

lz

( ,'Code No.: MTE3fiOfi,

(A) 25I.2

trI25I25I

.rX. V/hich of the following is a nonsin,gutai natnxZ

, - t\ /r rfl,TJ'ff{ ff JIJ#, il3;f i$' - ii; Jffilffif y*' or nn d in g a n i n ve rs e',,s ns

3luls.J

slbtrl .slolgl

J

3iolej

./lt i otrfo r rloLo o 1lT[r 1 oltlo o olofoo l,lt o 11lo t slqfo o tltlt o ol1lo t alqj_o o tlt

(B)

(c)

3 1l12123J'+-1 s II2 _zl4 oJ

1 1 tl-i3zl1 2 rfo 7 3J

l-s.Lulslolo

+lzI-1lrltIZloLo

(D)

rl,lA)(Bl

(c)

SULIT

(D)

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.: .h,i

Code No.: MTE3110.r .'r'r + ::; j.- :*:lrigli:-...'l-i i'l :" r:: : ,'. ':f i r:.: t ,:.. ilj i"'i+ l'i i '12. Based on the 6y'g,bem of lirrcar *qt**fu*s'bs*o'w, the,value of z is equal to. ., "" *x*2y*z =5 -2x*2y*z=6i+'zy*32=9

(A)11 21112211 ,lr z 3l*4s z 1lt.r,lls 2 q(B)

(c)

-411 51[lzo l[Iresl-4i1 2 sl12261lr z rl-4,..'(D)

r: r: : lt-it, ... I ,r1': i'.'i-ltlGiven the vectOrs u = (3, _1, l) andFind the stum of u and v.

.rjir t:. i:r + I: ':i:v = (-2, -2, -3).3.

(A)(B)(c)(D)

(-1, a3, -1)(-1, 3, -1)(1, - 3, *1)(1, 3, -1)

I tl.i.rl-:ii:t$i': ti':: :,;.1

SULIT

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Code lts.: MTE3ttO

(A) 2i -i'- -:;*'(Bl- 2i-3J(c) 6r-j(D) 6r- ryt

Given the vectorof p.

(A) y'o(B) 6(c) 36(D) 4e

p R* and liu$.= 7. Determine the vlue

-'rt \

16: Given a1d u . v = 14, find the value of g.(A) -3(B) -2-/(c) 2(D) 3

k\.\ i::.:r.,iii-t-rEI l14.

15./- s\tlu =J -2 [ whereI p./ t, l-'

I

I

1 nl''r400Fil1;''T

Figure 4

rll l450 --

I\.iX3

@ Government of Malaysia 2010

(10 marks)I