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Choose the correct answer from the follo...

Choose the correct answer from the following :
The value of `|{:(-costheta,sintheta),(-sintheta,-costheta):}|`is:

A

`-1`

B

1

C

0

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If A = ((costheta,-sintheta),(sintheta,costheta)) then

    A
    A is an orthogonal matrix
    B
    A is a symmetric matrix
    C
    A is a skew -symmetric matrix
    D
    none of these

  • if A= [{:(costheta,sintheta),(-sintheta,costheta):}], then A A^T =?

    A
    `[{:(1,0),(0,1):}]`
    B
    `[{:(0,1),(1,0):}]`
    C
    `[{:(1,0),(0,-1):}]`
    D
    None of these

  • Let A={:[(costheta,-sintheta),(-sintheta,-costheta)]:} then inverse of A is

    A
    `{:[(costheta,-sintheta),(-sintheta,-costheta)]:}`
    B
    `{:[(-costheta,sintheta),(sintheta,costheta)]:}`
    C
    `{:[(sintheta,-costheta),(costheta,-sintheta)]:}`
    D
    `{:[(-sintheta,-costheta),(-costheta,sintheta)]:}`

    • Similar Questions

    Explore conceptually related problems

    Evaluate the determinants in |{:(costheta,-sintheta),(sintheta,costheta):}|

    Evaluate Delta=|{:(sintheta, costheta),(-costheta,sintheta):}|

    Evaluate costheta.costheta+sintheta.sintheta

    Let A=[{:(costheta,sintheta),(-sintheta,costheta):}] , then |2A| is equal to

    The value of (sintheta)/(1+costheta)+(sintheta)/(1-costheta) is :

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