Transcription of Matrices - NCERT
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Matrices - NCERT
Chapter 3. Matrices Overview A matrix is an ordered rectangular array of numbers (or functions). For example, x 4 3. A= 4 3 x 3 x 4. The numbers (or functions) are called the elements or the entries of the matrix . The horizontal lines of elements are said to constitute rows of the matrix and the vertical lines of elements are said to constitute columns of the matrix . Order of a matrix A matrix having m rows and n columns is called a matrix of order m n or simply m n matrix (read as an m by n matrix ). In the above example, we have A as a matrix of order 3 3 , 3 3 matrix . In general, an m n matrix has the following rectangular array : a11 a12 a13 a1n.
2. If B is the inverse of A, then A is also the inverse of B. (ii) Theorem 3 (Uniqueness of inverse) Inverse of a square matrix, if it exists, is unique. (iii) Theorem 4 : If A and B are invertible matrices of same order, then (AB)–1 = B–1A–1. 3.1.11 Inverse of a Matrix using Elementary Row or Column Operations
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