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 and B are matrix functions whose product AB is defined, then d d t ( A B ) = A d B d t + B d A d t .
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 and B are matrix functions whose product AB is defined, then d d t ( A B ) = A d B d t + B d A d t .
Solution Summary: The author explains that the given statement "If A and B are matrix functions whose product AB is defined, then d
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 and B are matrix functions whose product AB is defined, then
d
d
t
(
A
B
)
=
A
d
B
d
t
+
B
d
A
d
t
.
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