GATE Electronics and Communications (EC) 2020 Solved Papers

Question : 24 of 65

Marks: +1, -0

{v}_{1}, {v}_{2}, . . ., {v}_{6}

are six vectors in

{R}^{4}

, which one of the following statements is FALSE?

If $\{v_{1}, v 3, v_{5}, v_{6}\}$ spans $R^{4}$ , then it forms a basis for $R^{4}$
It is not necessary that these vectors span ${R}^{4}$ .
Any four of these vectors form a basis for ${R}^{4}$ .
These vectors are not linearly independent.

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