Question

In the following problems, make sure to write your arguments coherently in full sentences. If pos- sible, start a sentence with words rather than a formula. Avoid using ambiguous symbols such as +, ?, ...,.Instead, use words to transition your ideas, for example "This leads to", "Therefore", "We want to show", etc. Consider the following subspaces of R3: U V W = = = {(x21, 12, 13): 21 = 22 +23}, {(21, 22, 23) : *1 = 22}, {({1, 12, 13): 21 = 12 = 13}.

Answer 1

Basis of U is {(1 1 0)', (1 0 1)'}

Basis of V is {(1 1 0)', (0 0 1)'}

Basis of is {(1 1 0)'}

UV

It's dimension is 1.