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If A=[[cosalpha, sin alpha] , [-sin alph...

If `A=[[cosalpha, sin alpha] , [-sin alpha, cos alpha]]` and `A^(-1)=A'` then `alpha=`

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If A=[[cosalpha, -sin alpha] , [sin alpha, cos alpha]] then A+A'=I then alpha=

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Knowledge Check

  • If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then A.A^(T)=

    A
    only one B
    B
    I
    C
    A
    D
    `-A`

  • If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] then "AA"^(T)=

    A
    `[(1,0),(0,1)]`
    B
    `[(-1,0),(0,-1)]`
    C
    `[(5,0,-2),(0,6,0),(-2,6,2)]`
    D
    `[(0,0,0)]`

  • if [ ( cos alpha, - sin alpha),(sin alpha, cos alpha)] and A +A^1 =I then alpha =……

    A
    No solution
    B
    `pi/3`
    C
    `pi`
    D
    `(3pi)/(2)`

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