The absolute value of the determinant of a matrix gives the area of the parallelogram determined by its column vectors.
Mathematical beauty arises in many ways, though for most people, it is typically tied to something visual. The beauty of the more austere realm of abstract mathematics usually takes more time to appreciate
The null space (kernel) of the linear transformation defined by is a straight line through the origin in the plane .
In mathematics, a matrix is not a simulated reality, but instead just a plain-old rectangular array of numbers. This does not mean, however, that mathematical matrices are uninteresting.