Theorem proof:w1 and w2 two subspace than w1union w2 is vector space iff w1 is in w2 or w2 is in w1

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37. W1 union W2 is subspace if and only if w1 is subset w2 or w2 is subset of w1 | vector space 37. W1 union W2 is subspace if and only if w1 is subset w2 or w2 is subset of w1 | vector space
Theorems on Intersection of two subspaces and Union of two subspaces || Vector spaces Theorems on Intersection of two subspaces and Union of two subspaces || Vector spaces
RP&LA | Vector Spaces | The union of two subspaces is a subspace iff one is contained in the other RP&LA | Vector Spaces | The union of two subspaces is a subspace iff one is contained in the other
If W1 and W2 are two subspace of the vector space V, then W1+W2 is a subspace of the vector space V If W1 and W2 are two subspace of the vector space V, then W1+W2 is a subspace of the vector space V
dim W1+dim W2 = dim(W1+W2)+ dim(W1 W2) dim W1+dim W2 = dim(W1+W2)+ dim(W1 W2)
39. Proof of W1+W2=L(W1 union W2) | Theorem on linear sum of subspaces | Vector Space 39. Proof of W1+W2=L(W1 union W2) | Theorem on linear sum of subspaces | Vector Space
If W1 & W2 are finite dimensional subspaces of V then dim(W1+W2) = Dim W1+Dim W2 - Dim(W1nW2) If W1 & W2 are finite dimensional subspaces of V then dim(W1+W2) = Dim W1+Dim W2 - Dim(W1nW2)
12.VECTOR SPACES -2 | UNIT-2 | dim(w1+w2)=dim w1+dim w2 - dim (w1 U w2) |4th sem | paper-5 | Telugu 12.VECTOR SPACES -2 | UNIT-2 | dim(w1+w2)=dim w1+dim w2 - dim (w1 U w2) |4th sem | paper-5 | Telugu