Let V be the vector space of all 2 × 2 matrices over R. Consider the subspaces.
W₁ = {(a -a); a, c, d ∈ R}
(c d)
W₂ = {(a b); a, b, d ∈ R}
(-a d)
If m = dim(W₁ ∩ W₂) and n = dim (W₁ + W₂), then the pair (m, n) is
a. (2, 3)
b. (2, 4)
c. (3, 4)
d. (1, 3)