Wednesday 23 April 2014

Systems of Linear Equation in 2 Variable

How many can systems of linear equation have?
1. 1 Solution
2. Infinite Solutions
3. No Solution


A) 
If (a1 / a2 != b1 / b2), it involves lines that intersect exactly 1 time.
-- Situation 1

B) 
If (a1 / a2 == b1 / b2 == c1 / c2), it's a same line.
-- Situation 2

C)
If (a1 / a2 == b1 / b2 != c1 / c2), lines are parallel.
-- Situation 3


[Cramer's Rule]


where  A_i  is the matrix formed by replacing the ith column of  A  by the column vector  b .

 




to solve:http://zerojudge.tw/ShowProblem?problemid=a410
Code:

Ref. http://en.wikipedia.org/wiki/Cramer%27s_rule

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