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Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then ...

Let `A=[(0,0,-1),(0,-1,0),(-1,0,0)]` Then only correct statement about the matrix A is (A) A is a zero matrix (B) `A^2=1` (C) `A^-1` does not exist (D) `A=(-1)` I where I is a unit matrix

A

A is a zero matrix

B

`A=(-1)I`, where I is a unit matrix

C

`A^(-1)` does not exist

D

`A^2=I`

Text Solution

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The correct Answer is:
D
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  19. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

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