This page explores orthogonal complements in linear algebra, defining them as vectors orthogonal to a subspace W in Rn. It details properties, computation methods (such as using RREF...This page explores orthogonal complements in linear algebra, defining them as vectors orthogonal to a subspace W in Rn. It details properties, computation methods (such as using RREF), and visual representations in R2 and R3. Key concepts include the relationship between a subspace and its double orthogonal complement, the equality of row and column ranks of matrices, and the significance of dimensions in relation to null spaces.
