Let S and T be subspaces of R6, and U=SnT their intersection (i.e., a vector is...

 

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Let S and T be subspaces of R¹6, and U=SnT their intersection (i.e., a vector is in U exactly if it is in both S and T). Show that U is itself a subspace of R¹6. Specifically, using the properties of S and T, show that 1) VxE U, c € R: cx € U, and 2) Vx, y EU: x + y € U. Let S and T be subspaces of R¹6, and U=SnT their intersection (i.e., a vector is in U exactly if it is in both S and T). Show that U is itself a subspace of R¹6. Specifically, using the properties of S and T, show that 1) VxE U, c € R: cx € U, and 2) Vx, y EU: x + y € U.

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To show that U is a subspace of R16 we need to show that it satisfies the three main properties of a ... View the full answer