Which one is correct? Suppose V is an inner product space whith dim V=7 and

usagirl007A

usagirl007A

Answered question

2021-11-10

Which one is correct?
Suppose V is an inner product space whith dim V=7 and U is a subspace of V with dim U=2. Then dim U=
A.5.
B.7.
C.9.
D.1.
E.2.

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-11-11Added 110 answers

Step 1
We know that
The sum of the Dimensions of a subspace and the dimensions of its orthogonal complement is always equal to the dimension of the vector space.
Step 2
Hence,
dim U + dim U=dim

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