Solve the following systems of linear equations by Gaussian elimination method:

**EXERCISE 1.5**

1. Solve the following systems
of linear equations
by Gaussian elimination method:

(i) 2*x** *- 2 *y *+ 3*z** *= 2, *x *+ 2 *y *-
*z
*= 3, 3*x *- *y *+ 2*z
*= 1

(ii) 2*x** *+ 4 *y *+ 6*z** *= 22, 3*x** *+ 8 *y *+ 5*z** *= 27, -
*x *+ *y *+ 2*z *= 2

2. If
*ax ^{2}*
+

3. An amount of â‚¹ 65,000 is invested in three bonds at the
rates of 6%, 8% and 10% per annum
respectively. The total annual income is â‚¹ 4,800. The income from the third
bond is â‚¹ 600 more than that from the second bond. Determine the price of each
bond. (Use Gaussian elimination method.)

4. A boy is walking along the path *y *= *ax ^{2}
*+

**Answers for Exercise 1.5: **

1. (i) x = -1, y = 4, z = 4

(ii) x = 3, y = 1, z = 2

2. a = 2, b = 1, c = 6

3. â‚¹ 30000, â‚¹ 15000, â‚¹ 20000

4. a = 1, b = 3, c = -10 , yes

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 1.5: Matrix: Gaussian Elimination Method | Problem Questions with Answer, Solution

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