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DICTIONARY

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

The definition of normal matrix in the **dictionary** is *a square matrix A for which AA* = A* A, where A* is the Hermitian conjugate of A.*

normal

normal curve

normal distribution

Normal School

normal time

normalcy

normalisable

normalisation

normalise

normaliser

normality

normalizable

normalization

normalize

normalizer

normally

active matrix

active-matrix

aviatrix

Beatrix

Bellatrix

cicatrix

creatrix

dominatrix

fellatrix

generatrix

matrix

mediatrix

negotiatrix

orthogonal matrix

rectrix

separatrix

skew symmetric matrix

square matrix

submatrix

symmetric matrix

unitary matrix

SYNONYMS

TRANSLATOR

ar

280 millions of speakers

vi

80 millions of speakers

el

15 millions of speakers

af

14 millions of speakers

sv

10 millions of speakers

no

5 millions of speakers

TRENDS

0

100%

FREQUENCY

Little used

35

/100
EXAMPLES

1

Matrix Variate Distributions gathers and systematically presents most of the recent developments in continuous matrix variate distribution theory and includes new results.

A K Gupta, D K Nagar, **1999**

2

Encyclopedic Dictionary of Mathematics
If A A* = A*A, then A is said to be a **normal matrix**. A matrix U such that U*U = /,
that is, U'1 = U*, is normal. Following G. Frobenius, we call it a unitary matrix (in
the following discussion, we shall call it simply a u-matrix). A matrix H such that H
* ...

Kiyosi Itô, **1993**

3

Elementary
IT a\ 5.9-6 Prove that every **normal matrix** with real characteristic roots is
Hermitian. 5.9-7 Show that a **normal matrix** is similar to its transpose. 5.9-8 Prove
that two normal matrices are unitarily similar if and only if they are similar. 5.9-9 If
C is a ...

Howard Eves, **2012**

4

P2 Show that a **normal matrix** is unitary if and only if all its eigenvalues have
absolute value 1. 2.5.P3 Show that a **normal matrix** is Hermitian if and only if all
its eigenvalues are real. 2.5.P4 Show that a **normal matrix** is skew Hermitian if
and ...

Roger A. Horn, Charles R. Johnson, **2012**

5

Mechatronic Systems 2004
The **normal matrix** can be identified in (3.1) as If the **normal matrix** is 'near
singular' then the solution for the least-squares method becomes ill-conditioned.
The condition number of the **normal matrix** is defined as «(R) = (14) where Amoa(
i2) ...

Reza Moheimani, **2005**

6

Reversibility of Chronic Degenerative Disease and ...
Heine H and Anastasiadis P. 1992. **Normal Matrix** and Pathological Conditions.
New York: Gustar Fischer Verlag. 77. 75. Heine H and Anastasiadis P. 1992.
**Normal Matrix** and Pathological Conditions. New York: Gustar Fischer Verlag.
153.

William J. Rea, Kalpana Patel, **2010**

7

Linear Algebra and
To prove the “if” part, we assume that A is an n × n **normal matrix**. By the Schur's
Triangularization Theorem, there exists a unitary matrix P and an upper-
triangular matrix T such that A = PTP∗. Note that AA∗ = PTP∗PT∗P∗ = PTT∗P∗
and ...

Sudipto Banerjee, Anindya Roy, **2014**

8

Let A I (atj) be a **normal matrix**. If K is a It >< It principal submatrix of A, we denote
by E(K) the sum of all entries of K . Show that h|A| Z maxK |E(K)| for at least one
eigenvalue A of A. Let A I (atj) be an n-square complex matrix and denote mi I ...

Fuzhen Zhang, **2011**

9

The
A second confirmation of this fact comes from the realization that the left
eigenvectors of a **normal matrix** are essentially the same as the right
eigenvectors (Exercise 2.7.18). Specifically, if v is a right eigenvector, then it" is
an associated left ...

David S. Watkins, **2007**

10

Beginning OpenGL Game Programming
Voxel8 raises $12M to launch their electronics 3D printer by end of …

... designers and engineers of all skill levels to print embedded conductors, wires, and batteries into the **normal matrix** materials of 3D printing. «3ders.org, Jul 15»

Identification of novel drugs to target dormant micrometastases

MTD: Maximum tolerated dose. SIS: Small intestine submucosa. SISgel: A gel-forming **normal matrix** material prepared from SIS ... «BMC Blogs Network, May 15»

Normal mapping on flat water surface produces incorrect specular …

The transpose of the inverse of the upperleft 3x3 matrix of the model matrix gives a so called **Normal Matrix** that is a version of the model matrix ... «GameDev.net, Mar 15»

In-Q-Tel, CIA's venture-capital arm, invests in 3D electronics printing …

The company enables designers and engineers to print embedded conductors, wires, and batteries into the **normal matrix** materials of 3D ... «3ders.org, Mar 15»

Facebook, Apple, And Microsoft Are Ganging Up On Google

Seeking Opportunties @ **Normal Matrix** Organizations. I don't agree that Microsoft was an evil empire. From the tech giants of today , it was IBM ... «Pulse, Jan 15»

Get View Matrix from Model Matrix

This doesn't work, and I can understand why: the **normal matrix** is the inverse-transpose of the upper-left 3x3 section of the final model matrix. «GameDev.net, Dec 14»

4 Things You Can Fix About Your Aging Body

That's basically a synthetic version of the **normal matrix** that sits in the knee joint and prevents bone from rubbing on bone. Another option is an ... «Huffington Post, Apr 14»

Trouble with accessing GLSL array

#version 130 uniform mat4 MVPMatrix; // combined model/view/projection matrix. uniform mat4 NMatrix; // **normal matrix**. uniform mat4 ... «Devmaster, Mar 14»

Normals in World Space from a GLSL Shader

The **normal matrix** is created via first transposing and then inverting the upper 3×3 part of the world (or world-view) matrix. normalMat ... «GameDev.net, Oct 13»

3D Biomatrix Publishes Application Notes with Novartis …

The model was analyzed via immunohistochemistry and was found to have a **normal matrix** distribution and proliferative zones. A preliminary ... «PR Web, Oct 13»

REFERENCE

« EDUCALINGO. *Normal matrix* [online]. Available <https://educalingo.com/en/dic-en/normal-matrix>. Dec 2019 ».