Chapter 7 Matrix Algebra

The following notations will be used while applying ERO

• Interchange of row.

• Division of row of the matrix with scalar k.

• Addition of i^th row that is multiplied by the scalar k to the j^th row.

• Multiplication of i^th row of the matrix with scalar k.

Elementary Row Operations is important method to

• find the inverse of a matrix

• find the determinant of matrix

• solve the system of linear equations

• find the minor and cofactor of the matrix

In ERO, we apply addition operation because we want to make the element as

• 0

• 1

Which of the following is Echelon matrix?

• 
• 
• 

What is the rank of the following matrix

• 1

• 2

• 3

Calculate the minor of a₃₁?

• -1

• 0

• 1

From the given matrix A, find the cofactor c₃₂?

• 3

• -3

• 12

• -12

By using ERO, calculate the inverse of the following matrix?

• 
•