In: Advanced Math
Find a basis and the dimension of W. Show algebraically how you found your answer.
a. W = {(x1, x2, x3, x4) ∈ R^4 | x2 = x3 and x1 + x4 = 0}
b. W = {( A ∈ M 3x3 (R) | A is an upper triangular matrix}
c. W = { f ∈ P3 (R) | f(0) = 0.
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