dimension of w1 intersection of two subspaces dim(w1+w2)=dim(w1)+dim(w2)-dim(w1∩w2) bhu 2018 linear

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Syllabus of Linear Algebra- Vector space, Linear dependence of vectors, Basis, Dimension, Linear transformations, Matrix representation with respect to an ordered basis, Range space and null space, Rank-nullity theorem, Rank and inverse of a matrix, Determinant, Solutions of system of linear equations, Consistency conditions, Eigenvalues and eigenvectors, Cayley-Hamilton theorem, Symmetric, Skew-symmetric, Hermitian, Skew-Hermitian, Orthogonal and unitary matrices.

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dimension of intersection of two subspaces dim(w1+w2)=dim(w1)+dim(w2)-dim(w1∩w2) R^n BHU PET 2018

BHU PET 2018, 20
Key (b)

[mathew]

sir how to find the subspace W1+W2 in this same question?

[shorts-fvsr]

Sir option a true hoga because zero vector is neccesary in a subspace