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Recent questions tagged clockwise


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Suppose \(S\) is an oriented surface with boundary \(\partial S\) which is oriented so that its direction is clockwise relative to the normals of \(S\). Then
Linear maps \(F(X)=A X\), where \(A\) is a matrix, have the property that \(F(0)=A 0=0\), so they necessarily leave the origin fixed. It is simple to extend this to include a translation,

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Find a real \(2 \times 2\) matrix \(A\) (other than \(A=I\) ) such that \(A^{5}=I\).
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Find a matrix that rotates the plane through \(+60\) degrees, keeping the origin fixed.
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Find a \(2 \times 2\) matrix that rotates the plane by \(+45\) degrees followed by a reflection across the horizontal axis.
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Find a \(2 \times 2\) matrix that rotates the plane by \(+45\) degrees \((+45\) degrees means 45 degrees counterclockwise).
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1 Determine the the number of screws needed to fix two of these school desks

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1 Determine the the number of screws needed to fix two of these school desks
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1 Determine the the number of screws needed to fix two of these school desks 1 Determine the the number of screws needed to fix two of these school desks 2 Determine the direction in which the screw is tightened. Is it c ...
by Joshua Mwanza Diamond
(51,748 points)
asked in Mathematics Jun 7, 2020
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