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- W137843923 abstract "This chapter presents matrices and linear systems of equations. An m × n matrix A is a rectangular array of mn numbers arranged in m rows and n columns. The i th component of A , denoted by a ij , is the number appearing in the i th row and j th column of A . If A is an m × n matrix with m = n , then A is a square matrix. An m × n matrix with all components equal to zero is called the m × n zero matrix. Two matrices are equal if they have the same size and if corresponding components are equal. The sum of two matrices is defined only when both matrices have the same size. Two matrices can be multiplied together only if the number of columns of the first is equal to the number of rows of the second. Otherwise, the vectors a i and b j will have different numbers of components and the scalar product will not be defined. The chapter also presents linear systems of equations and their simplification. It describes two methods for solving sample systems of equations: (1) Gauss–Jordan elimination and (2) Gaussian elimination." @default.
- W137843923 created "2016-06-24" @default.
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- W137843923 date "1986-01-01" @default.
- W137843923 modified "2023-09-24" @default.
- W137843923 title "Matrices and Linear Systems of Equations" @default.
- W137843923 doi "https://doi.org/10.1016/b978-0-12-304380-1.50011-7" @default.
- W137843923 hasPublicationYear "1986" @default.
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