Math & Data Science Q&A - Get answers from our AI that are verified by human experts
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

Let \(\mathcal{P}_{2}\) be the space of quadratic polynomials.

MathsGee Android Q&A


0 like 0 dislike
162 views
Let \(\mathcal{P}_{2}\) be the space of quadratic polynomials.

a) Show that \(\langle f, g\rangle=f(-1) g(-1)+f(0) g(0)+f(1) g(1)\) is an inner product for this space.

b) Using this inner product, find an orthonormal basis for \(\mathcal{P}_{2}\).

c) Is this also an inner product for the space \(\mathcal{P}_{3}\) of polynomials of degree at most three? Why?
in Mathematics by ♦ Platinum (164,236 points) | 162 views

Related questions

0 like 0 dislike
0 answers
Let \(\mathcal{P}_{2}\) be the space of polynomials of degree at most 2 .
asked Jan 21, 2022 in Mathematics by ♦MathsGee Platinum (164,236 points) | 196 views
0 like 0 dislike
0 answers
Let \(\mathcal{P}_{3}\) be the linear space of polynomials \(p(x)\) of degree at most 3 .
asked Jan 21, 2022 in Mathematics by ♦MathsGee Platinum (164,236 points) | 130 views
0 like 0 dislike
0 answers
Let \(V, W\) be vectors in \(\mathbb{R}^{n}\).
asked Jan 21, 2022 in Mathematics by ♦MathsGee Platinum (164,236 points) | 256 views

Join MathsGee and get expert-verified answers to your maths and data science questions fast. We use a combination of generative AI and human experts to provide you the best answers to your questions. Ask a question now!


On the MathsGee, you can:


1. Ask and answer questions


2. Get expert-verified answers


3. Vote on questions and answers


4. Tip your favorite community members


5. Join expert live video sessions (Paid/Free)


6. Earn points by participating


7. Start a Fundraiser



Posting on MathsGee


1. Remember the human


2. Act like you would in real life


3. Find original source of content


4. Check for duplicates before publishing


5. Read the community guidelines




MathsGee Rules


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.




MathsGee Android Q&A

Subjects

Most popular tags

MathsGee Android Q&A