Question

2. Consider the inner product space V = P2(R) with (5.9) = £ 5(0)9(e) dt, and let T:V V be the linear operator defined by T(f

0 0
Add a comment Improve this question Transcribed image text
Answer #1

0 Given that Let, V:B(IR) Tvv be a lhear operatos Tlf): xfYv) +28 (1) Now, a= {1, 2, x} is a basis of v. T1: X.0+2:112=2.17 02,3,4 vectors ß for which , [T] B is diagonal The eigen values of T one all eigen values are distinct So, if is diagonaligibl3 Now, 21,17 - 1 Slide Så (-2= v-bilia illill=eilyar Luix> = x.xdu n LE Sarde = nput - al [i-ki = 12:2 ::))x)= x,x) 5 % 13 Lon of the required requéved orthonamal n bais 2 11411 71 B-listan { / Era 1 V2 B V 5 a) } a ra consisting of eigen vectors of

Add a comment
Know the answer?
Add Answer to:
2. Consider the inner product space V = P2(R) with (5.9) = £ 5(0)9(e) dt, and...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT