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The value of |{:(-1,,2,,1),(3+2sqrt(2),...

The value of `|{:(-1,,2,,1),(3+2sqrt(2),,2+2sqrt(2),,1),(3-2sqrt(2),,2-2sqrt(2),,1):}|` is equal to

A

`0`

B

`-16sqrt(2)`

C

`-8sqrt(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Applying `R_(1) to R_(1)-R_(2),R_(2) to R_(2) -R_(3)` we get
`Delta = |{:(-4-2sqrt(2),,-2sqrt(2),,0),(4sqrt(2),,4sqrt(2),,0),(3-2sqrt(2),,2-2sqrt(2),,1):}| `
`=1(-(4+2sqrt(2))) 4sqrt(2)+2sqrt(2)xx4sqrt(2))`
`=-16sqrt(2)`
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