Find a Matrix a Such That W = Col A $\{ \sin t , \tan t \}$

question 10

Multiple Choice

Find a matrix A such that W = Col A.
-A: The set $\{ \sin t , \tan t \}$ in $C [ 0,1 ]$
B: The set $\{ \sin t \cos t , \cos 2 t \}$ in $C [ 0,1 ]$
$C :$ The set $\left\{ \cos ^ { 2 } t , 1 + \cos 2 t \right\}$ in $C [ 0,1 ]$

• A) \(A\) and B
• B) B only
• C) Conly
• D) A only
• E) \(A\) and \(C\)

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Definitions:

Non-native Species

Species that are introduced into an ecosystem where they do not naturally occur, often causing harm to the native biodiversity.

High Reproductive Time

Species or organisms that have a long period before reaching sexual maturity, often resulting in fewer offspring over their lifetime.

Ecosystem

A community of living organisms interacting with each other and their physical environment.