Let W1 and W2 be subspaces of R2 Is it necessary W1 UW2 is subspace of...

 

Transcribed Image Text:

Let W1 and W2 be subspaces of R2 Is it necessary W1 UW2 is subspace of R? Let W1 and W, be subspaces of V show that W1n W2 and W1+ W2 both are subspaces of V. Let Wi and W2 be subspaces of V show that W1 UW2 is subspace of V if and only if either Wi C W2 or W2C W1. Let W1 and W2 be subspaces of R2 Is it necessary W1 UW2 is subspace of R? Let W1 and W, be subspaces of V show that W1n W2 and W1+ W2 both are subspaces of V. Let Wi and W2 be subspaces of V show that W1 UW2 is subspace of V if and only if either Wi C W2 or W2C W1.

Answer rating: 100% (QA)

Let R2 be a vector space and W1 and W2 are two subspaces of R2 The union of these two subspaces is not necessarily be a subspace of R2 For example take W1 to be the x axis and W2 the y axis both are s... View the full answer