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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Matrices
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muskaanrelhan (470)

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If matrix  raised to power k , then what is the least positive integral value of k???


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muskaanrelhan (470)

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plzz ny1 reply...


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a_JOSHI (172)

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just keep on multiplying till u get any...is it 5?
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muskaanrelhan (470)

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Nopes da answer is 7


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a_JOSHI (172)

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yea u keep on multiplying till u get cos2pi sin2pi
sin2pi cos2pi
please rate if correct
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muskaanrelhan (470)

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I am not getting it...plzzz explain in detail


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a_JOSHI (172)

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see when u multply it with itself...
u get cos^2(2pi/7)-sin^2(2pi/7) cos2pi/7sin2pi/7-sin2pi/7cos2pi/7
sin2pi/7cos2pi/7+cos2pi/7sin2pi/7 cos^2(2pi/7P+sin^2(2pi/7)

then use cos^2theta-sin^theta to get cos2theta and use sin(a+b) formula
then keep multiplying it till u get the answer...that is multiply 7 times..i mean the matrix^7
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muskaanrelhan (470)

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But multipying 7 times will be a long process...


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muskaanrelhan (470)

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plzz tell wudnt it be too long..and what if we dunno da answer....how long shud we keep on multiplying???


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allamraju (3415)

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The best method to do is not this as mentioned by above people.Previously,Man111 asked this question and I answered it there.Plz see this,


http://www.goiit.com/posts/list/algebra-question-61994.htm


MAKING A MISTAKE IS HUMAN BUT REPEATING IT IS IDIOTIC.
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