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11TH · MATH

Question 5

menu_bookSolutionmenu_bookTheorymenu_book•(i)∣21x−1−4−3x10∣=5\left|\begin{matrix}2&1&x\\-1&-4&-3\\x&1&0\end{matrix}\right|=5​2−1x​1−41​x−30​​=5menu_book•(ii)∣1x−13−1x+122−3x∣=9\left|\begin{matrix}1&x-1&3\\-1&x+1&2\\2&-3&x\end{matrix}\right|=9​1−12​x−1x+1−3​32x​​=9menu_book•(iii)∣1112x236x∣=0\left|\begin{matrix}1&1&1\\2&x&2\\3&6&x\end{matrix}\right|=0​123​1x6​12x​​=0
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11TH · MATH

Question 5

menu_bookSolutionmenu_bookTheorymenu_book•(i)∣21x−1−4−3x10∣=5\left|\begin{matrix}2&1&x\\-1&-4&-3\\x&1&0\end{matrix}\right|=5​2−1x​1−41​x−30​​=5menu_book•(ii)∣1x−13−1x+122−3x∣=9\left|\begin{matrix}1&x-1&3\\-1&x+1&2\\2&-3&x\end{matrix}\right|=9​1−12​x−1x+1−3​32x​​=9menu_book•(iii)∣1112x236x∣=0\left|\begin{matrix}1&1&1\\2&x&2\\3&6&x\end{matrix}\right|=0​123​1x6​12x​​=0
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Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.2

(i)

x=12\boxed{x=\frac{1}{2}}x=21​​
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(ii)
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