Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Linear Algebra With Applications
Found in: Page 402
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Find the dimension of the space Q2 of all quadratic forms in two variables.

the solution is


See the step by step solution

Step by Step Solution

Step 1:  Identify the space's dimensions Q2

The space of all quadratic forms qx in two variables is known as Q2. That's correct,


is a two-dimensional symmetric matrix. Each qQ2 can be written as


Where a:b,cR and thus, dimension of

Q2=q(x1,x2)=ax12+2bx1x2+cx22:a,b,cR is This is the dimension of the order 2 symmetric matrix A .


Step 2: conclusion


Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.