Download the app

Questions  

If A=1223 and A2-λA-I2=0, then λ is equal to

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
-4
b
-2
c
2
d
4

Ready to Test Your Skills?

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

detailed solution

Correct option is D

we are given

A=1223

And  A2-λA-I2=0(1) 

so A2=A.A=1223 1223 =56613

From eq(1)

A2-λA+I2=58813-λ1223-1001=0 5-λ-18-2λ-08-2λ-013-3λ-1 =0000 4-λ8-2λ8-2λ12-3λ=0000 4-λ=0 λ=4

Hence option (d) is correct

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace


test your sad image
knowledge
rocket icon 5 Questionscheck how much you know about a topic
clock icon 5 minsstand a chance to win up-to 100% scholarships
child image


whats app icon
phone icon