Assignment 5 - Statistics for Sociologists | SOCI 708, Assignments of Introduction to Sociology

Material Type: Assignment; Professor: Nielsen; Class: STATISTICS FOR SOCIOLOGISTS; Subject: SOCIOLOGY; University: University of North Carolina - Chapel Hill; Term: Fall 2006;

Typology: Assignments

Pre 2010

Uploaded on 03/10/2009

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ASSIGNMENT 5
SOCI 708 -- Fall 2006
Use the following matrices and vectors to solve the problems below.
a= 3 8 e= -2 –3 Q= 18 27
5 2 7 8 4 6
7 4 14 2
b= 11 7 M= 10 5 R= 25 30
8 1 15 20 35 40
2 6
c= 3, a scalar N= [ 9 0 1 ] d= 3 2
7 4
1 1
P= 1 0 0 O= 0 0
0 1 0 0 0
0 0 1
1. Calculate ...
a. R - M i. N x Q
b. M+ R j. P x Q
c. a + b k. c + e
d. d' l. e x d
e. 3 x Q m. M x R
f. d x b n. Q'
g. P x P o. Q x P
h. e + O p. O x M
2. Calculate the determinant of R.
3. Calculate the trace of M.
4. What is R x R-1 ?
5. Check your answers to a, b, d, i and o and number 4 using Stata.
Due date: October 27

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ASSIGNMENT 5

SOCI 708 -- Fall 2006

Use the following matrices and vectors to solve the problems below.

a= ⎡ 3 8 ⎤ e= ⎡-2 –3 ⎤ Q= ⎡ 18 27 ⎤ 5 2 ⎣ 7 8 ⎦ 4 6 ⎣ 7 4 ⎦ ⎣ 14 2 ⎦ b= ⎡ 11 7 ⎤ M= ⎡ 10 5 ⎤ R= ⎡ 25 30 ⎤ 8 1 ⎣ 15 20 ⎦ ⎣ 35 40 ⎦ ⎣ 2 6 ⎦ c= 3, a scalar N= [ 9 0 1 ] d= ⎡ 3 2 ⎤ 7 4 ⎣ 1 1 ⎦ P= ⎡ 1 0 0 ⎤ O= ⎡ 0 0 ⎤ 0 1 0 ⎣ 0 0 ⎦ ⎣ 0 0 1 ⎦

1. Calculate ...

a. R - M i. N x Q

b. M+ R j. P x Q

c. a + b k. c + e

d. d' l. e x d

e. 3 x Q m. M x R

f. d x b n. Q'

g. P x P o. Q x P

h. e + O p. O x M

2. Calculate the determinant of R.

3. Calculate the trace of M.

4. What is R x R

5. Check your answers to a, b, d, i and o and number 4 using Stata.

Due date: October 27