Matrices and Determinants:
Chapter summary:
Definition of Matrix:
a) It is the rectangular array of real numbers.b) Consists of m rows by n columns.c) Named by using the capital letters.d) First subscript is the row and second subscript is the column.
The Determinant of a Square Matrix:
The determinant is a real number related with each and every square matrix. There is even a definition of determinant which defines it in terms of itself.
The determinant of a square matrix A is represented by ‘det A’ or |A|. Now, that last one looks similar to the absolute value of A, however you will have to apply the context. When the vertical lines are around a matrix, it signifies determinant.Key topics included in this chapter are as follows:
a) Matrices and Systems of Equationsb) Matrix Operationsc) The Inverse of a Square Matrixd) The Determinant of a Square Matrixe) Applications of Determinants and Matrices
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