Question

Let U and W are distinct 4-dimensional subspaces of a vector space V of dimension 6. Consider the following statements:
A. The dimension of U ∩ W is either 2 or 3.
B. The dimension of U + W is either 5 or 6.
C. The dimension of U ∩ W is always greater than 4.
D. The dimension of U + W is always greater than 4.
Choose the correct answer from the options given below:

• A. A. B and D only
• B. A, B and C only
• C. B, C and D only
• D. C and D only

Answer 1

Answer: (A)

A. B and D only

Answer 2

The correct answer is(A): A. B and D only