Abstract
Sidney H. Kung, Jacksonville, FL Most textbooks in linear algebra develop Cramer's rule via the adjoint matrix. Therefore, the following approach may be worth noting. Cramer'_ rule. If the coefficient matrix A of the system + *_,.*,. = *i ^ir*_ ' a\2x2 ' a2-\X- i a22x2 i a) a?iX1 + an2x2 + ??? +annxn = b? has nonzero determinant, then the system has a unique solution (j = \,2,...,n), (2) where d is the determinant of A, and dj I is the determinant of the n X n matrix obtained from A by replacing the y'th column of A with the column of constants. We first show that if d ^ 0, the system has a solution. Begin by considering the (? + l)X(? + l) determinant bj aA bi 0_i '21
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
