If the matrix A satisfies a 2+2a = o, then the eigenvalue of the matrix A can only be 0 and -2, and the structure of the basic solution system based on Ax=0 is a vector, then the rank of A is 2, then the eigenvalue of the matrix A can only be -2, -2,0, and then the quadratic expression f(x 1, x2, x3) =-2 *.

linear algebra

The research objects are vector, vector space (or linear space), linear transformation and finite dimensional linear equations. Vector space is an important subject in modern mathematics. Therefore, linear algebra is widely used in abstract algebra and functional analysis; Through analytic geometry, linear algebra can be expressed concretely.

The theory of linear algebra has been extended to operator theory. Because the nonlinear model in scientific research can usually be approximated as a linear model, linear algebra is widely used in natural science and social science.