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SUMMER 2014, ASSIGNMENT
|
DRIVE
|
SUMMER 2014
|
|
PROGRAM
|
BACHELOR
OF COMPUTER APPLICATION
|
|
SUBJECT
CODE & NAME
|
BCA3010 -COMPUTER ORIENTED NUMERICAL METHODS
|
|
SEMESTER
|
THIRD
|
|
CREDITS
|
4
|
|
MAX.
MARKS
|
60
|
|
BK ID
|
B
|
Answer all questions
Q.
1 Solve the system of equation by matrix inversion method
x
+y +z = 1
x
+2y + 3z = 6
x +
3y +4z = 6
Solution:-Write the given as a single matrix equation:
1
1 1 x 1
1 2
3 y = 6
1 3
4 z 6
This is called matrix
product.
Q. 2. Find all eigen values and the corresponding eigen vectors of
the matrix.
A =
I 8 - 6 2 I
I 6
7 4 I
I 2
4 3 I
Q.
3. Find the cubic polynomial which takes the following values y(0) = 1, y(1) =
0, y(2) = 1 and y(3) = 10. Hence or otherwise, obtain y (0.5).
Solution:
-
y = ax^3 + bx^2 = cx +d.
y(0) = 1 = 0+0+0+d, d = 1
y(1) = 0 = a+b+c+1, a+b+c = -1
Q.
4. Find the approximate value of ò p/2,0 √ cos q dq by Simpson’s 1/3rd rule by
dividing [0, p/2] into 6 equal parts.
Solution:- A method for approximating the value of a function near a known
value. The method uses the tangent line at the known value of the function to
approximate the function's graph. In this method Δx and Δy represent the
changes in x and y for the function, and dx and dy represent the changes in x
and y for the tangent line.
Q.
5. Use Picard’s method of successive approximations to find y1,y2, y3 to the
solution of the initial value problem
Solution:-
Y ‘ = y
Y(0) = 1
We know that it has a unique solution.
The integral equation equivalent to this
Dear
students get fully solved assignments
Send
your semester & Specialization name to our mail id :
“
help.mbaassignments@gmail.com ”
or
Call
us at : 08263069601
(Prefer
mailing. Call in emergency )
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