1. Let M be a 4 x 4 matrix A = C = e f M = Assume that we know that det M = 5. Compute determinants of the following matrices. Justify your answers. a -e -¡ m a i m bj n ck 0 g g d l P -b -C f j n b f g j k m n 0 P g k 0 a e i h 1 P h 1 B = a b с d 2e 2f 2g 3i 3j 3k 4m 4n 40 4p E = 30 1 00 b a с d f e 9 h k 1 0 a e m 2h 31 n m Р

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 4E
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Question
1. Let M be a 4 x 4 matrix
A =
C =
Assume that we know that det M = 5. Compute determinants of the following matrices. Justify
your answers.
e
f
M =
a
-e
-¡
m
a i m
bj n
ck
0
g
g d l P
-b -C
f
j
n
g
k
0
b
f
a
e
g
h
i
jk 1
m n 0 P
h
1
P
B =
a b с d
2e 2f 2g
3i 3j 3k
4m
E =
4n 40 4p
30 1 00
b a с d
f
e
9 h
k
1
0
P
a
e
2h
31
m
n m
Transcribed Image Text:1. Let M be a 4 x 4 matrix A = C = Assume that we know that det M = 5. Compute determinants of the following matrices. Justify your answers. e f M = a -e -¡ m a i m bj n ck 0 g g d l P -b -C f j n g k 0 b f a e g h i jk 1 m n 0 P h 1 P B = a b с d 2e 2f 2g 3i 3j 3k 4m E = 4n 40 4p 30 1 00 b a с d f e 9 h k 1 0 P a e 2h 31 m n m
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