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Engineering Maths · Q124

Linear Algebra

Engineering and GATE · Engineering Maths · question 124

Q124

It is given that X1, X2, ... XM are M non-zero, orthogonal vectors. The dimension of the vector space spanned by the 2M vectors X1, X2 ... XM, -X1, -X2 ... -XM is

A.
2M
B.
M + 1
C.
M
Answer
D.
dependent on the choice of X1, X2, ... XM

Answer: Option C

Solution

Answer: Option C
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