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A = ((2.1,2.5,3.7),(-2.1,5.9,3.8),(0,-2....

`A = ((2.1,2.5,3.7),(-2.1,5.9,3.8),(0,-2.9,-3)),B=((cosalpha,sinalpha,0),(sin alpha,cosalpha,0),(0,0,-1)) ,C=((cos alpha,sinalpha,0),(-sin alpha,cos alpha,0),(0,0,1))` then `sum_(k=0)^(oo)(1)/(3^(k))tr(A(BC)^(k))=`________

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Knowledge Check

  • If A=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha,0),(0,0,1)] then A^(-1) is

    A
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    B
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    C
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    A
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    B
    `A_(alpha)^(-1)=A_(-alpha)`
    C
    `A_(alpha)^(-1)=-A_(alpha)`
    D
    `A_(alpha)^(2)=-I`

  • If Delta=|(cosalpha, -sinalpha,1),(sinalpha,cosalpha,1),(cos(alpha+theta),-sin(alpha+theta),1)| then

    A
    `Deltain[1-sqrt(2),1+sqrt2]`
    B
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    C
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    D
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