dimension of subspace W consisting of diagonal element Basis bhu 2020 linear algebra Mathematics

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Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues, and eigenvectors for matrices, Cayley-Hamilton theorem.

14. If W is the subspace of M_(n×n) (R) consisting of diagonal matrices then
(a) dim⁡W=n (b) dim⁡W=n^2-n (c) dim⁡W=2n (d) dim⁡W=n^2

En BHU PET 2020, 14
Key (a)