MATH1002 Lecture Notes - Lecture 6: Free Variables And Bound Variables, Row Echelon Form, Augmented Matrix
20 Aug 2018
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A matrix of m rows and n columns is said to be a m x n matrix. (confusing because the vertical component comes first. All matrices of size m x n with real entries. We can refer to the entries in a matrix with a double subscript. An entry in matrix a at row i, column j is aij. If a matrix has the same number of rows and columns, then it is a square matrix. If a square matrix has only zero as its non diagonal entries, the it is a diagonal matrix. If a diagonal matrix"s diagonal entries are all the same, then it is a scalar matrix. If they"re all 1, then it is an identity matrix. The distinction between a row matrix and a column matrix is important when we talk about whether or not two matrices are equal. (a + b) + c = a + (b + c)
