Theory of Matrices and Determinants

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 Equations
b) Matrix Operations
c) The Inverse of a Square Matrix
d) The Determinant of a Square Matrix
e) Applications of Determinants and Matrices

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