Find a basis and the dimension of W. Show algebraically how youfound 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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