Let M4(ℝ) be the space of all (4 × 4) matrices over ℝ. Let
\(\mathrm{W}=\left\{\left(a_{i j}\right) \in M_{4}(\mathbb{R}) \mid\sum_{i+j=k} a_{i j}=0, k = 2, 3, 4, 5, 6, 7, 8 \right\}\)
Then dim(W) is
1
7
2
8
3
9
4
10
5
Question Not Attempted
Let M4(ℝ) be the space of all (4 × 4) matrices over ℝ. Let
\(\mathrm{W}=\left\{\left(a_{i j}\right) \in M_{4}(\mathbb{R}) \mid\sum_{i+j=k} a_{i j}=0, k = 2, 3, 4, 5, 6, 7, 8 \right\}\)
Then dim(W) is