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E|111e02222| is equal to ____________. -

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Question

`abs((1,1,1),("e",0,sqrt2),(2,2,2))` is equal to ____________.

Options

  • 0

  • 2

  • none of these

  • 3e

MCQ
Fill in the Blanks

Solution

`abs((1,1,1),("e",0,sqrt2),(2,2,2))` is equal to 0.

Explanation:

`abs((1,1,1),("e",0,sqrt2),(2,2,2)) = 2 abs((1,1,1),("e",0,sqrt2),(1,1,1)) = 0,` because, row 1 and row 3 are identical. Therefore determinant will be zero.

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