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Class 11 – Mathematics
Unit 02: Matrices and Determinants
Exercise 2.5 – Question 2 (Sindh Board)

In Question 2 of Exercise 2.5, students are required to reduce the given matrix into echelon form using elementary row operations. The question helps in understanding how to apply the three basic row operations —

1. Interchanging two rows,


2. Multiplying a row by a non-zero constant, and


3. Adding or subtracting a multiple of one row to another.



The aim is to convert the matrix step-by-step into a triangular (echelon) form, where each leading entry (pivot) is 1 and appears to the right of the leading entry in the row above it.

This question strengthens the concept of systematic reduction of matrices and prepares students for solving simultaneous linear equations using the matrix method.

Key Concepts Practiced:

Elementary Row Operations

Echelon Form of a Matrix

Systematic Matrix Simplification


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