Matrix Chapter-2

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Types of Matrix:

Row Matrix:  A matrix is said to be a row matrix if it has only one row.

1_MAT

Column Matrix: A matrix is said to be a column matrix if it has only one column.

2_MAT

Rectangular Matrix: A matrix is said to be rectangular if the number of rows is not equal to the number of columns

3_MAT

Square Matrix: A matrix is said to be rectangular if the number of rows is equal to the number of columns.

4_MAT

Diagonal Matrix: A square matrix is said to be diagonal if at least one element of principal diagonal is non-zero and all the other elements are zero.

5_MAT

Scalar MatrixA diagonal matrix is said to be scalar if all of its diagonal elements are the same

6_MAT
Identity or Unit Matrix: A diagonal matrix is said to be identity if all of its diagonal elements are equal to one.

7_MAT
Triangular Matrix: A square matrix is said to be triangular if all of its elements above the principal diagonal are zero

(lower triangular matrix) or all of its elements below the principal diagonal are zero (upper triangular matrix).

  • Upper Triangular Matrix

8_MAT

  • Lower Triangular Matrix

9_MAT

Null or Zero Matrix: A matrix is said to be a null or zero matrix if all of its elements are equal to zero.

91_MAT

Transpose of a Matrix: Suppose A is a given matrix, and then the matrix obtained by interchanging its rows into columns is called the transpose of matrix A.

92_Mat

Then Transpose of thematrix is:

93_MAT

 

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