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What is the value of the determinant ...

What is the value of the determinant `|[0, 2, 0],[ 2, 3, 4],[ 4 ,5 ,6]|` ?

Text Solution

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Given, `|[0, 2, 0],[ 2, 3, 4],[ 4 ,5 ,6]|`
=`0|[3,4],[5,6]|-2|[2,4],[4,6]|+0`
=`-2|[2,4],[4,6]|`
=`-2(12-16)=8`
The value of determinant is 8.
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  • What is the value of determinant |(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)| ?

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    B
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