Vidyalelo
Engineering Maths · Q35

Linear Algebra

Engineering and GATE · Engineering Maths · question 35

Q35

The system of linear equations \[ [ array*20c 2&1&3 \\ 3&0&1 \\ 1&2&5 array ] [ array*20c a \\ b \\ c array ] = [ array*20c 5 \\ - 4 \\ 14 array ]\] has

The system of linear equations \left[ {\begin{array}{*{20}{c}} 2&1&3 \\ 3&0&1 \\ 1&2&5 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {\text{a}} \\ {\text{b}} \\ {\text{c}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 5 \\ { - 4} \\ {14} \end{array}} \right]     has
A.
a unique solution
B.
infinitely many solutions
Answer
C.
no solution
D.
exactly two solutions

Answer: Option B

Solution

Answer: Option B
No explanation is given for this question Let's Discuss on Board