Let V=span{cos2x,sin2x,cos2x}. Consider the following statements: 1. {cos2x,sin2x,cos2x} is linearly independent. 2. dim(V)<∞. 3. V=span{cos2x,sin2x}. 4. {cos2x,sin2x,cos2x,sin2x} is linearly independent. 5. dim(V)=3.
Let V=span{cos2x,sin2x,cos2x}. Consider the following statements:
1. {cos2x,sin2x,cos2x} is linearly independent.
2. dim(V)<∞.
3. V=span{cos2x,sin2x}.
4. {cos2x,sin2x,cos2x,sin2x} is linearly independent.
5. dim(V)=3.
Which of the following is true?
- A.
Statements 2 and 3 are true.
- B.
Statements 1 and 2 are true.
- C.
Statements 2 and 5 are true.
- D.
Statements 1 and 4 are true.
- E. Statements 3 and 4 are true.
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