Solve the following systems of linear equations by matrix method.
(i) 2x − y + 3z = 8 (ii) x + y + z = 9
− x + 2y + z = 4 2x + 5y + 7z = 52
3x + y − 4z = 0 2x + y − z = 0
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) x = 2, y = 2, z = 2 (ii) x = 1, y = 3, z = 5
Sol. (i) 2x − y + 3z = 8
− x + 2y + z = 4
3x + y − 4z = 0
AX = B
⇒ X = A –1 B ⇒ 
= 
⇒ |A| = – 38 ⇒ 
= 
= 
⇒ x = 2, y = 2 & z = 2
(ii) x + y + z = 9
2x + 5y + 7z = 52
2x + y − z = 0
⇒ X = A –1 B ⇒ 
= 
⇒ |A| = – 4 ⇒ 
= 
⇒ 
= 
⇒ x = 1, y = 3 & z = 31
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