Download the app

Questions  

The system of linear equations x+y+z=2,  2x+yz=3,  3x+2y+kz=4 has a unique solution if  k is

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
an empty set
b
equal to R
c
equal to 0
d
equal toR−{0}

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is D

Augmented matrix is 111221-1332K4~R3−3R1R2−2R1, 11120-1-3-10-1k-3-2                                                                          ~R3−R211120-1-3-100k-1System of equations has a unique solution⇒k≠0,solution set=R−{0}


Similar Questions

The number of 3×3  matrices A  whose entries are either 0or1  and for which the system Axyz=100  has exactly two distinct solutions, is


whats app icon
phone icon