Download the app

Questions  

The system of equations 3x-y+4z=3, x+2y-3z=-2 and 6x+5y+λz=-3 has at least one solution when

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
λ=−5
b
λ=3
c
λ=5
d
λ=6

Ready to Test Your Skills?

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

detailed solution

Correct option is A

Augmented matrix = 3-14312-3-265λ-3~3R2−R1,R3−2R13-14307-13-907λ-8-9                                                                                     ~R3−R23-14307-13-900λ+50 The system of equations has at least one solution ⇒λ+5=0⇒λ=−5


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