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Official PYQ · 2007

GATE EC 2007 Set 1 Q21 — Linear Algebra

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It is given that X1,X2,⋯ ,XMX_{1}, X_{2}, \cdots ,X_{M} are MM non-zero, orthogonal vectors. The dimension of the vector space spanned by the 2M2 M vectors X1,X2,⋯ ,XM,−X1,−X2,⋯ ,−XMX_{1}, X_{2}, \cdots, X_{M},-X_{1},-X_{2}, \cdots,-X_{M} is

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Answer: C

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