Answers

The Brainliest Answer!
2014-11-08T10:56:21+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
If λ is the eigenvalue of the matrix A, then we can write
Av = λv for a non-zero matrix v.

now we need to find the eigenvalue of 2A.
Multiply 2 to both sides
2 × Av = 2 × λv
⇒2Av = 2λv
⇒(2A)v = (2λ)v

So for a non-zero matrix v, we can write (2A)v = (2λ)v.
So the eigenvalue of 2A is 2λ.
1 5 1