1. Given the following matrix: [-13 0 F = 6 -8 t2-1] 7 t 2 -7 Determine answers to the following: a. State the dimensions of the matrix. b. If cofactor 13 (C13) is equal to 36, calculate the value of the element13 (a13). c. Using your answers from part b. above, calculate the matrix that will be derived from the expression -2F + D, where D = F * 413. d. After completing Part c. above, state the name of the resultant matrix.
1. Given the following matrix: [-13 0 F = 6 -8 t2-1] 7 t 2 -7 Determine answers to the following: a. State the dimensions of the matrix. b. If cofactor 13 (C13) is equal to 36, calculate the value of the element13 (a13). c. Using your answers from part b. above, calculate the matrix that will be derived from the expression -2F + D, where D = F * 413. d. After completing Part c. above, state the name of the resultant matrix.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 17AEXP
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![Problem Set A
1. Given the following matrix:
[-13
0
t² - 11
F =
6
-8
7
t
2
-7
Determine answers to the following:
a.
State the dimensions of the matrix.
b. If cofactor13 (C13) is equal to 36, calculate the value of the element13 (a13).
c. Using your answers from part b. above, calculate the matrix that will be derived
from the expression - 2F + ½ D, where D = F * 413.
d. After completing Part c. above, state the name of the resultant matrix.
2. Matrix A below is a singular matrix, calculate the value(s) of q.
A = [131√ √2229]
3. Three hundred and sixty-eight (368) students of The UWI Global Campus are registered to do
ECON1003. The ethnicity of the registered students is Black, East Indian and Latino. If there
are four times as many East Indian students as there are twice as many Black students plus
Latino students and thrice as many East Indian students as there are four hundred and ninety-
one students minus twice as many Latino students.
a. State three variables to represent the events presented in the above information.
b. Write three linear equations to represent the above information.
c. Using your answer from part b. above, write the linear equations in matrix form.
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc05b071-bdad-44ad-8e70-2ddd168c453c%2F13c53cf7-cab5-42ad-bf63-924605b938d4%2Fbt23nw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem Set A
1. Given the following matrix:
[-13
0
t² - 11
F =
6
-8
7
t
2
-7
Determine answers to the following:
a.
State the dimensions of the matrix.
b. If cofactor13 (C13) is equal to 36, calculate the value of the element13 (a13).
c. Using your answers from part b. above, calculate the matrix that will be derived
from the expression - 2F + ½ D, where D = F * 413.
d. After completing Part c. above, state the name of the resultant matrix.
2. Matrix A below is a singular matrix, calculate the value(s) of q.
A = [131√ √2229]
3. Three hundred and sixty-eight (368) students of The UWI Global Campus are registered to do
ECON1003. The ethnicity of the registered students is Black, East Indian and Latino. If there
are four times as many East Indian students as there are twice as many Black students plus
Latino students and thrice as many East Indian students as there are four hundred and ninety-
one students minus twice as many Latino students.
a. State three variables to represent the events presented in the above information.
b. Write three linear equations to represent the above information.
c. Using your answer from part b. above, write the linear equations in matrix form.
2
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