0

Guest

Courses New

define quadric equation

define quadric equation

Question Image
Grade:10

3 Answers

prafull
18 Points
9 years ago
test answer
prafull
18 Points
9 years ago
test answer
Sunil Kumar FP
askIITians Faculty 183 Points
9 years ago
In mathematics, a quadric, or quadric surface, is any D-dimensional hypersurface in (D + 1)-dimensional space defined as the locus of zeros of a quadratic polynomial. In coordinates x1, x2, ..., xD+1, the general quadric is defined by the algebraic equation
\sum_{i,j=1}^{D+1}xiQi,jxj +\sum_{i=1}^{D+1}Pixi +R=0
which may be compactly written in vector and matrix notation as:
xQx^{T}+Px^{T}+R=0
where x = (x1, x2, ..., xD+1) is a row vector, xT is the transpose of x (a column vector), Q is a (D + 1) × (D + 1) matrix and P is a (D + 1)-dimensional row vector and R a scalar constant.

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More