Home | | Maths 12th Std | Exercise 1.7: Matrix: Homogeneous system of linear equations

# Exercise 1.7: Matrix: Homogeneous system of linear equations

Maths Book back answers and solution for Exercise questions - Applications of Matrices and Determinants: Solve the following system of homogenous equations

EXERCISE 1.7

1. Solve the following system of homogenous equations.

(i) 3+ 2 + 7= 0, 4- 3- 2= 0, 5+ 9 + 23= 0

(ii) 2+ 3= 0, - 2= 0, 3+ 3= 0  2. Determine the values of ╬╗ for which the following system of equations

+ 3= 0, 4+ 3+ ╬╗= 0, 2+ 2= 0 has

(i) a unique solution

(ii) a non-trivial solution. 3. By using Gaussian elimination method, balance the chemical reaction equation:

C2H6 + O2 ŌåÆ H2CO2 1. (i) x = -t, y = -2t, z = tt Ōłł R

(ii) Trivial solutions only

2. (i) ╬╗ ŌēĀ 8 (ii) ╬╗ = 8

3. 2C2 H6 + 7O2 ŌåÆ 6H2O + 4CO2

Tags : Problem Questions with Answer, Solution , 12th Mathematics : UNIT 1 : Applications of Matrices and Determinants
Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
12th Mathematics : UNIT 1 : Applications of Matrices and Determinants : Exercise 1.7: Matrix: Homogeneous system of linear equations | Problem Questions with Answer, Solution