gram determinant meaning in Hindi

Examples

1. Geometrically, the Gram determinant is the square of the volume of the parallelotope formed by the vectors.
2. Compare the Gram determinant of a set of vectors in an-dimensional space, which, unlike the determinant of vectors, is always positive, corresponding to a squared number.
3. An important application is to compute linear independence : a set of vectors is linearly independent if and only if the Gram determinant ( the determinant of the Gram matrix ) is non-zero.
4. The right-hand side is the Gram determinant of "'a "'and "'b "', the square of the area of the parallelogram defined by the vectors.