Matrices and Determinants:
About Matrices : A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket.
1. A matrix is a rectangular array of numbers, arranged in rows and columns.
Determinants : Let A = [aij] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix A and is denoted by the symbol det.A or |A|.
About Matrices : A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket.
1. A matrix is a rectangular array of numbers, arranged in rows and columns.
2. Order of a matrix = Number of rows in it x Number of columns in it
3. Row matrix is a matrix with only one row.
4. Column matrix is a matrix with only one column.
5. Zero or Null matrix is a matrix in which every element is zero.
Determinants : Let A = [aij] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix A and is denoted by the symbol det.A or |A|.
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