Question

Solve the system of linear equations by matrix method:

4x + 3y + 2z = 6
2x + 4y + 6z = 9
6x + 2y + 3z = 7​

Answer 1

Explanation:

det of

|4 3 2

2 4 6

6 23|=∆=

4(12-12)-3(6-36)+2(4-24)=50

det of

|6 3 2

9 4 6

7 2 3|=∆1=

6(12-12)-3(27-42)+2(18-28)=25

det of

|4 6 2

2 9 6

6 7 3|=∆2=4(27-42)-6(6-36)+2(14-54)=40

det of

|4 3 6

2 4 9

6 2 7|=∆3=4(28-18/-3(14-54)+6(4-24)=40

x=∆1/∆=1/2

y=∆2/∆=4/5

z=∆3/∆=4/5

Answer 2

here is your answer X= 1/2; Y=4/5; Z=4/5