Orthogonality

Concepts

• Dot product 10 exercisesThe dot product of two vectors in ℝ^n is the number obtained by multiplying their coordinates one by one and adding the results.
• Vector norm 10 exercisesThe norm of a vector in ℝ^n is a nonnegative number measuring its length: the square root of the vector's dot product with itself.
• Orthogonal vectors 10 exercisesTwo vectors of ℝ^n are orthogonal when their dot product is zero; geometrically, they are perpendicular.
• Orthogonal projection 10 exercisesThe orthogonal projection of a vector onto a nonzero vector is the multiple of the latter closest to the former; the remainder is…
• Gram–Schmidt process 10 exercisesA procedure that turns linearly independent vectors into an orthogonal list spanning the same subspace, by subtracting from each…