Problem 3 (a) Describe all possible subspaces of R. What do each one look like geometrically?...

 

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Problem 3 (a) Describe all possible subspaces of R³. What do each one look like geometrically? (b) What about R² ? (c) What about R4 ? Notes: (1) Any subspace has to contain 0. (2) The smallest subspace of any V is {0} and the largest is V itself. They are referred to as trivial subspaces. Problem 3 (a) Describe all possible subspaces of R³. What do each one look like geometrically? (b) What about R² ? (c) What about R4 ? Notes: (1) Any subspace has to contain 0. (2) The smallest subspace of any V is {0} and the largest is V itself. They are referred to as trivial subspaces.

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ANSWER a All possible subspaces of R3 are The trivial subspace 0 R3 itself ... View the full answer