# Linear Algebra - Four Fundamental Subspaces & Orthogonal Complement

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Give a basis for the orthogonal complement of each of the following subspaces of R^4.

a. V = Span ((1, 0, 3, 4), (0, 1, 2, -5))

b. W = {x E R^4 : x_1 + 3x_3 + 4x_4 = 0, x_2 + 2x_3 - 5x_4 = 0}

https://brainmass.com/math/linear-algebra/linear-algebra-four-fundamental-subspaces-orthogonal-complement-175058

#### Solution Summary

This solution is comprised of a detailed explanation to answer the basis for the orthogonal complements of the subspaces. It is given in step by step format and attached in a Word document.

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