GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
220 views

Consider the following system of linear equations : $$2x_1 - x_2 + 3x_3 = 1$$ $$3x_1 + 2x_2 + 5x_3 = 2$$ $$-x_1+4x_2+x_3 = 3$$ The system of equations has

  1. no solution
  2. a unique solution
  3. more than one but a finite number of solutions
  4. an infinite number of solutions
asked in Linear Algebra by Veteran (12.9k points)   | 220 views

1 Answer

+4 votes
Best answer
rank of matrix = rank of augmented matrix = no of unknown = 3
so unique solution..
answered by Veteran (45.8k points)  
selected by
Can case C arise? If Yes, how shall we determine?

when rank of matrix = rank of augmented matrixno of unknown 

then it is infinite solutions. r < n, that is option D. I'm asking about option C
Answer:

Related questions



Top Users Apr 2017
  1. akash.dinkar12

    3660 Points

  2. Divya Bharti

    2580 Points

  3. Deepthi_ts

    2040 Points

  4. rude

    1966 Points

  5. Tesla!

    1768 Points

  6. Debashish Deka

    1614 Points

  7. Shubham Sharma 2

    1610 Points

  8. Prashant.

    1492 Points

  9. Arjun

    1472 Points

  10. Arunav Khare

    1464 Points

Monthly Topper: Rs. 500 gift card

22,086 questions
28,063 answers
63,297 comments
24,169 users