Mathematics, 30.06.2020 17:01 Diegosolorzano50

Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision.
{cos 2x, cos2x, sin2x} on (−[infinity], [infinity]) .
We have cos 2x = cos2 x − sin2 x on (−[infinity], [infinity]) , so the functions are linearly dependent.

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Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. {cos 2x, cos2x, sin2x} on (−[infinity], [infinity]) . We have cos 2x = cos2 x − sin2 x on (−[infinity], [infinity]) , so the functions are linearly dependent.

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Another question on Mathematics

Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision.
{cos 2x, cos2x, sin2x} on (−[infinity], [infinity]) .
We have cos 2x = cos2 x − sin2 x on (−[infinity], [infinity]) , so the functions are linearly dependent.