This type of matrix preserves the inner product and yields the identity when multiplied by its transpose.
In QR decomposition, a matrix is factored into one in this form and one in upper triangular form. A linear transformation, T, with this property satisfies the equality inner product of two vectors v and w equals the inner product of T v and T w. This type of matrix preserves the inner product and yields the identity when multiplied by its transpose. If a set of vectors satisfies this property, then it is linearly independent. A basis whose vectors are of unit length and have this property can be created with the Gram-Schmidt process. Two vectors with this property have a dot product of zero. For 10 points, identify this property of things that intersect at right angles
In QR decomposition, a matrix is factored into one in this form and one in upper triangular form.
orthogonal [or word forms]