EC > GATE 2017 SET-1 > Linear Algebra
Consider the following statements about the linear dependence of the real valued functions y1=1, y2=x and y3=x2 over the field of real numbers.
I. y1, y2 and y3 are linearly independent on -1≤x≤0
II. y1, y2 and y3 are linearly dependent on 0≤x≤1
III. y1, y2 and y3 are linearly independent on 0≤x≤1
IV. y1, y2 and y3 are linearly dependent on -1≤x≤0
Which one among the following is correct?
I. y1, y2 and y3 are linearly independent on -1≤x≤0
II. y1, y2 and y3 are linearly dependent on 0≤x≤1
III. y1, y2 and y3 are linearly independent on 0≤x≤1
IV. y1, y2 and y3 are linearly dependent on -1≤x≤0
Which one among the following is correct?
Correct : b
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