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If A=[(sinalpha,-sinalpha),(sinalpha,cos...

If `A=[(sinalpha,-sinalpha),(sinalpha,cosalpha)]`, then `A+A'=I`, if the value of `alpha` is :

A

`pi/6`

B

`pi/3`

C

`pi`

D

`(3pi)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] , then

    A
    `A_(alpha).A_((-alpha))=I`
    B
    `A_(alpha).A_((-alpha))=O`
    C
    `A_(alpha).A_(beta)=A_(alphabeta)`
    D
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    A
    `[[cos10alpha, -sin10alpha], [sin10alpha, cos10alpha]]`
    B
    `[[cos10alpha, sin10alpha], [-sin10alpha, cos10alpha]]`
    C
    `[[cos10alpha, sin10alpha], [-sin10alpha, -cos10alpha]]`
    D
    `[[cos10alpha, -sin10alpha], [-sin10alpha, -cos10alpha]]`

  • If A_(alpha)=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] then (A_(alpha))^2=?

    A
    `[(cos^2alpha,sin^2alpha),(-sin^2alpha,cos^2alpha)]`
    B
    `[(cos2alpha,sin2alpha),(-sin2alpha,cos2alpha)]`
    C
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    D
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