Question

1. Solve the equation using matrix method                                                                    

     X +2Y +3Z = 1, 2X + 3Y + 8Z = 2, X + Y + Z = 3 

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Answer 1

Answer:

Given,

x+2y+3z=1

2x+y+3z=2

5x+5y+9z=4

Step-by-step explanation:

A∣=

∣

∣

∣

∣

∣

∣

∣

∣

1

2

5

2

1

5

3

3

9

∣

∣

∣

∣

∣

∣

∣

∣

∣A∣=1(9−15)−2(18−15)+3(10−5)

∣A∣=−6−6+15

∣A∣=3

∣A∣



=0

∣A∣= determinant of coefficient matrix



=0

Therefore there exists a unique solution ( only one solution)