TS EAMCET · Maths · Determinants
The following system of equations has
- A no solution
- B exactly solutions
- C only one solution
- D infinitely many solutions
Answer & Solution
Correct Answer
(D) infinitely many solutions
Step-by-step Solution
Detailed explanation
Given system of equations are x+y+z=9 2x+5y+7z=52 x+7y+11z=77 Augmented matrix=111925752171177 R2→R2-2R1, R3→R3-R1 =111903534061068 R3→R3-2R2 =1119035340000 Here, nA=nAB<n. ∴ The system has a infinite number of solutions
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