AP EAMCET · Maths · Determinants
The number of solutions of the following system of linear homogeneous equations \(x-y+z=0, x+2 y-z=0\) and \(2 x+y+3 z=0\) is
- A 1
- B 8
- C Countable infinite
- D Uncountable
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
To find the number od solutions of the following system of linear homogeneous equations. \(\begin{aligned} x-y+z & =0 ...(i)\\ x+2 y-z & =0 ...(ii)\\ 2 x+y+3 z & =0 ...(iii)\end{aligned}\) We can write the above equations in matrix form i.e.…
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