12th Maths Guide Solution Chapter 1: Application of matrices and determinants Exercise 1.2

Here are the 12th class maths guide solutions in PDF of Chapter 1 Application of Matrices and Determinants Exercise 1.2, according to the Samacheer Kalvi syllabus for Tamil Nadu state board students.

Question No. 1: Find the rank of the following matrices by the minor method.

A is a matrix of order 2 × 2 and p(A) ≤ 2
Second order minor

= 4 – 4 = 0
p(A) ≠ 2
First order minor is non vanishing
p(A) = 1

A is a matrix of order 3 × 2 and p(A) ≤ 2
Second order minor

Question No 2: Find the rank of the following matrices by row reduction method.

The last equivalent matrix is in row echelon form. It has three non-zero rows.
p(A) = 3

Question No 3: By Gauss-Jordan method find the inverse of the following.