The xyz-coordinates of Methanol are given in the table below: Tag Symbol X Y 1 0.136 -0.458 0.000 1.111 0.292 0.000 -1.096 0.112 0.000 H. 0.087 -1.560 0.000 4 H. -1.025 1.080 0.000 And there is a known vector D with: a b. D= c e where the letters are the last 5 digits of your student ID number. For instance, if your student ID number is 1234567890, then a=6, b=7, etc. Using the table create atomic distance matrix, A. In the diagonal elements of the matrix put atomic numbers and off diagonal elements are corresponding distances between two atoms. What is the transpose of matrix, AT? What is complex conjugate of matrix, A"?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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mes New Romar v 12
- A A Aa A
E - E E E E T
AaBbCcDd
3IU ab x, x A
三三== 三。
I Normal
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1. The xyz-coordinates of Methanol are given in the table below:
Tag
Symbol X
Y
1
C
0.136
-0.458
0.000
1.111
0.292
0.000
-1.096
0.112
0.000
5
H.
0.087
-1.560
0.000
4
H
-1.025
1.080
0.000
And there is a known vector D with:
a
D= c
where the letters are the last 5 digits of your student ID number.
For instance, if your student ID number is 1234567890, then
a=6, b=7, etc.
Using the table create atomic distance matrix, A. In the diagonal
elements of the matrix put atomic numbers and off diagonal
elements are corresponding distances between two atoms.
What is the transpose of matrix, AT?
What is complex conjugate of matrix, A"?
What is the trace of the matrix?
Is the matrix Hermitian?
What is the determinant of the matrix?
Divide the matrix by 3 to get matrix B.
Apply matrix A on vector D, and then apply B on the result; ie,
B.(A.D)
Apply matrix B on vector D, and then apply A on the result; ie.
A.(B.D)
Do the matrices A and B commute?
a)
b)
f)
g)
h)
i)
j)
Transcribed Image Text:Draw Design Layout References Mailings Review View Help mes New Romar v 12 - A A Aa A E - E E E E T AaBbCcDd 3IU ab x, x A 三三== 三。 I Normal Font Paragraph 1. The xyz-coordinates of Methanol are given in the table below: Tag Symbol X Y 1 C 0.136 -0.458 0.000 1.111 0.292 0.000 -1.096 0.112 0.000 5 H. 0.087 -1.560 0.000 4 H -1.025 1.080 0.000 And there is a known vector D with: a D= c where the letters are the last 5 digits of your student ID number. For instance, if your student ID number is 1234567890, then a=6, b=7, etc. Using the table create atomic distance matrix, A. In the diagonal elements of the matrix put atomic numbers and off diagonal elements are corresponding distances between two atoms. What is the transpose of matrix, AT? What is complex conjugate of matrix, A"? What is the trace of the matrix? Is the matrix Hermitian? What is the determinant of the matrix? Divide the matrix by 3 to get matrix B. Apply matrix A on vector D, and then apply B on the result; ie, B.(A.D) Apply matrix B on vector D, and then apply A on the result; ie. A.(B.D) Do the matrices A and B commute? a) b) f) g) h) i) j)
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