Search for: If the system of equations x+2y+3z=λx, 3x+y+2z=λy, 2x+3y+z=λz has non-trivial solution , then λ=…….. If the system of equations x+2y+3z=λx, 3x+y+2z=λy, 2x+3y+z=λz has non-trivial solution , then λ=…….. A6B12C16D18 Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:Given system of equations , 1−λx+2y+3z=0,3x+1−λ+2z=0, 2x+3y+1−λz=0 Has nontrivial solution ⇒1−λ2331−λ2231−λ=0R1+R2+R3⇒6−λ6−λ6−λ31−λ2231−λ(6−λ)11131−λ2231−λC2−C1C3−C1⇒(6−λ)1003−λ−2−121−λ−1=0⇒(6−λ)[(λ+1)(λ+2)+1]=0⇒λ=6,λ2+3λ+3=0 Related content List of All High Courts in India 2024 Onam Poster Design and Templates How Many Liters in a Gallon? World Ozone Day 2024 When is Onam 2024? Understanding Kerala’s Grand Harvest Festival Karnataka NEET Cut Off 2024 Happy Onam 2024: Top 50 Wishes in Malayalam, English and Hindi Which City is Best for IIT JEE & NEET Coaching? Which Coaching Produces Most IITians? Best Long Term Coaching for IIT JEE in Hyderabad – Should I take long term for IIT? Ganesh Chaturthi Decoration Ideas At Home