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Express the following equation and solve them by finding the i

Question

Express the following equation and solve them by finding the inverse of coefficient matrix using adjoining method.
$x + y + z = 9$
$2 x + 5 y + 7 z = 52$
$2 x + y - z = 0$

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Express the following equation and solve them by finding the inverse of coefficient matrix using adjoining method.

x + y + z = 9

2 x + 5 y + 7 z = 52

2 x + y - z = 0

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12 mins ago

Text solutionVerified

X = ⎣ ⎡ x y z ⎦ ⎤

B = ⎣ ⎡ 9520 ⎦ ⎤

A = ⎣ ⎡ 122151 17 - 1 ⎦ ⎤

\Rightarrow A^{- 1} = ⎣ ⎡ 3 - 4 2 - \frac{1}{2} \frac{3}{4} - \frac{1}{4} - \frac{1}{2} \frac{5}{4} - \frac{3}{4} ⎦ ⎤

X = A^{- 1} B

⎣ ⎡ x y z ⎦ ⎤ = ⎣ ⎡ 3 - 4 2 - \frac{1}{2} \frac{3}{4} - \frac{1}{4} - \frac{1}{2} \frac{5}{4} - \frac{3}{4} ⎦ ⎤ ⎣ ⎡ 9520 ⎦ ⎤

⎣ ⎡ x y z ⎦ ⎤ = ⎣ ⎡ 135 ⎦ ⎤

∴ x = 1, y = 3, z = 5

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Question Text	Express the following equation and solve them by finding the inverse of coefficient matrix using adjoining method. $x + y + z = 9$ $2 x + 5 y + 7 z = 52$ $2 x + y - z = 0$
Answer Type	Text solution:1
Upvotes	150