By Charles G. Cullen
This introductory textbook, aimed toward sophomore- and junior-level undergraduates in arithmetic, engineering, and the actual sciences, deals a tender, in-depth remedy of linear algebra and matrix concept. the foremost items of research are matrices over an arbitrary field.
Contents comprise Matrices and Linear platforms; Vector areas; Determinants; Linear changes; Similarity: half I and half II; Polynomials and Polynomial Matrices; Matrix research; and Numerical Methods.
The first seven chapters, which require just a first direction in calculus and analytic geometry, take care of matrices and linear structures, vector areas, determinants, linear alterations, similarity, polynomials, and polynomial matrices. Chapters eight and nine, components of which require the scholar to have accomplished the conventional direction series in calculus and differential equations, supply introductions to matrix research and numerical linear algebra, respectively. one of the key positive factors are assurance of spectral decomposition, the Jordan canonical shape, the answer of the matrix equation AX = XB, and over 375 difficulties, many with answers.