This paper aims to elaborate the extensive applications of linear systems methods in Linear Alge-bra from the perspectives of the theory of homogeneous linear systems with the same solution set,the de-termination of nonzero solutions,the dimension formula of the solution space,and the orthogonality of the solution space and the row space of the coefficient matrix of a linear system.
关键词
齐次线性方程组/同解/矩阵的秩/正交
Key words
homogeneous linear equations/solution space/matrix rank/orthogonality