For items (a)-(I), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false. If A is an n × n matrix function such that A and d A d t are the same function, then A = c e t I n for some constant c.
For items (a)-(I), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false. If A is an n × n matrix function such that A and d A d t are the same function, then A = c e t I n for some constant c.
Solution Summary: The author explains that A=cetI_n for some constant c is true or false.
For items (a)-(I), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.
If A is an
n
×
n
matrix function such that A and
d
A
d
t
are the same function, then
A
=
c
e
t
I
n
for some constant c.
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