Hemchandracharya North Gujarat University 2003 B.Sc Computer Science 102 : Advance Mathematics - Question Paper

C(x) = x3 /3=3 x2-7z+16, where x is the
Output. obtain the output at which the total
Cost is minimum.

3 (a) (1) If every element of a row is multiplied 3
with K and added to the corresponding
element of a different row then prove that
the value of determinant is not changed.

(2)
one a a2
Prove that one b b2 =(a-b) (b-c) (c-a). 3
one c c2


one two two
(b) (1) If A = two one two then prove that
one two one

a2 -4A-5I=0

seven four
(2) If A = five three then prove that A + AT + A-1 3
















(c) Solving usimg matrix method. 3
2x – 3y + 5= 0
3x +y -9 = 0

OR
3 (a) (1) Solving the formula by Cramer’s rule 3
x + 6y = 2xy
3x + 2y = 2xy

X p 3x – 5p 3
(2) Prove that y q 3y – 5q =0
Z r 3z – 5r


0 four three
(b) (1) IF A = one -1 -3 Prove that 2

Earning:   Approval pending.