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Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. ...

Let `{:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}`. The only correct statement aboul the matrix A is

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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MOTION-MATRICES -Exercise - 1
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  4. If A is skew-symmetric matrix, then trace of A is

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  5. If A and B are symmetric matrices, then A B A is

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  6. If A is a skew-symmetric matrix and n is an even natural number,...

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  9. If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)], then adj ...

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  10. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

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  15. If A^2-A+I=0, then the invers of A is

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  16. Which of the following is incorrect

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  17. If A is a square matrix of order 3, then the true statement is (where ...

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  18. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

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  19. Let A and B be matrices of order 3 xx 3. If AB = 0, then which of the ...

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