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Notes on Mathematics - 1021Peeyush Chandra, A. K. Lal, V. Raghavendra, G. Santhanam1Supported by a grant from MHRD2ContentsI Linear Algebra71 Definition of a Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . Special Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . Operations on Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . Multiplication of Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . Some More Special Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . Submatrix of a Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . Block Matrices.

10 CHAPTER 1. MATRICES Example 1.1.4 The linear system of equations 2x+ 3y= 5 and 3x+ 2y= 5 can be identified with the matrix " 2 3 : 5 3 2 : 5 #. 1.1.1 Special Matrices

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