This presentation contains the matrix and its types in general

1. MATRICES AND TYPES OF
MATRICES

2. MATRIX:
A matrix is a rectangular array or
arrangement of entries or elements
displayed in rows and
columns put within a square
bracket [ ].

3. TYPES OF MATRICES:
● ROW MATRICES:
A matrix having only one row is
called a row matrix

4. ● COLUMN MATRIX
A matrix having only one column
is called a column matrix.

5. ● SQUARE MATRIX:
A matrix in which number of rows is
equal to the number of columns, is
called a square matrix. That is, a
matrix of order n × n is often referred
to as a square matrix of order n.

6. ● ZERO MATRIX:
A matrix A =[aij]mxn is said to be a zero
matrix denoted by O if
aij = 0 for all values of 1<=i<=m and
1<=j<=n.

7. ● DIAGONAL MATRIX:
A Square matrix A =[aij]mxn is
called a diagonal matrix if aij =0
whenever i is not equal to j.

8. ● SCALAR MATRIX:
A diagonal matrix whose entries
along the principal diagonal are
equal, is called a Scalar matrix.

9. ● UNIT MATRIX :
A square matrix in which all the
diagonal entries are 1 and the rest
are all zero is called a Unit matrix.

10. ● UPPER TRIANGULAR MATRIX:
A square matrix is said to be an
upper triangular matrix if all the
elements below the main diagonal
are zero

11. ● LOWER TRIANGULAR MATRIX:
A square matrix is said to be a lower
triangular matrix if all the elements
above the main diagonal are zero.

12. ● TRIANGULAR MATRIX:
A square matrix which is either
upper triangular or lower triangular
is called a triangular
matrix.

13. THANK YOU