The voltage in an electric circuit are related by following equations : $V_{1}+V_{2}+V_{3}= 9;V_{1}-V_{2}+V_{3} = 1find V_{1},V_{2} and V

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The voltage in an electric circuit are related by following equations : $V_{1}+V_{2}+V_{3}= 9;V_{1}-V_{2}+V_{3} = 1find V_{1},V_{2} and V_{3} by using cramer's rule.$

written 4.7 years ago by

teamques10 ★ 65k

modified 2.0 years ago by

pedsangini276 • 4.8k

engineering mathematics

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written 4.7 years ago by

teamques10 ★ 65k

Solution:

$D = \quad \begin{vmatrix} 1 & 1 & 1\\ 1 & -1 & 1\\ 1 & 1 & -1 \end{vmatrix}$

=1(1-1)-1(-1-1)+1(1+1)= 4

$D_{V1} = \quad \begin{vmatrix} 9 & 1 & 1\\ 3 & -1 & 1\\ 1 & 1 & -1 \end{vmatrix}$

= 9(1-1)-1(-3-1)+1(3+1) = 8

$V_{1} = \frac{D_{V1}}{D} …

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