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*x *+ 2 *y *+ 7*z *= 0, 4*x *- 3*y *- 2*z *= 0, 5*x *+ 9 *y *+ 23*z *= 0

(ii) 2*x *+ 3*y *- *z *= 0, *x *- *y *- 2*z *= 0, 3*x *+ *y *+ 3*z *= 0

2. Determine the values of Î»* *for which the following system of equations

*x *+ *y *+ 3*z *= 0, 4*x *+ 3*y *+ Î»*z *= 0, 2*x *+ *y *+ 2*z *= 0 has

(i) a unique solution

(ii) a non-trivial solution.

3. By using Gaussian elimination method, balance the chemical reaction equation:

*C*2*H*6 + *O*2 â†’ *H*2*O *+ *CO*2

Answers for Exercise 1.7

1. (i) *x* = -*t*, y = -2*t*, z = *t*, *t* âˆˆ R

(ii) Trivial solutions only

2. (i) Î» â‰ 8 (ii) Î» = 8

3. 2*C*2 *H*6 + 7*O*2 â†’ 6*H*2*O* + 4CO2

Tags : Problem Questions with Answer, Solution , 12th Mathematics : UNIT 1 : Applications of Matrices and Determinants

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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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