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Problem Questions with Answer, Solution - Exercise 1.7: Matrix: Homogeneous system of linear equations | 12th Mathematics : UNIT 1 : Applications of Matrices and Determinants

Chapter: 12th Mathematics : UNIT 1 : Applications of Matrices and Determinants

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 λ for which the following system of equations

+ 3= 0, 4+ 3+ λ= 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 → H2CO2



Answers for Exercise 1.7

1. (i) x = -t, y = -2t, z = tt  R

(ii) Trivial solutions only

2. (i) λ ≠ 8 (ii) λ = 8

3. 2C2 H6 + 7O2 → 6H2O + 4CO2


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12th Mathematics : UNIT 1 : Applications of Matrices and Determinants : Exercise 1.7: Matrix: Homogeneous system of linear equations | Problem Questions with Answer, Solution

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12th Mathematics : UNIT 1 : Applications of Matrices and Determinants


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