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Differential Calculus And Geometry

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Show that the set of functions \[ {\ \left(\frac{\pi{}x}{2l}\right), sin\left(\frac{3\pi{}x}{2l}\right),\ \sin\left(\frac{5\pi{}x}{2l}\right),.....}\]is orthogonal over (0,l).
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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Is the matrix orthogonal ? If not then can it be converted to an orthogonal matrix :- \[A=\left[\begin{array}{ccc}-8 & 1 & 4 \\4 & 4 & 7 \\1 & -8 & 4\end{array}\right]\]
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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Is the matrix orthogonal ? If not then can it be converted to an orthogonal matrix :- \[A=\left[\begin{array}{ccc}-8 & 1 & 4 \\4 & 4 & 7 \\1 & -8 & 4\end{array}\right]\]
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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Is the matrix orthogonal ? If not then can it be converted to an orthogonal matrix :- \[A=\left[\begin{array}{ccc}-8 & 1 & 4 \\4 & 4 & 7 \\1 & -8 & 4\end{array}\right]\]
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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Is the matrix orthogonal ? If not then can it be converted to an orthogonal matrix :- \[A=\left[\begin{array}{ccc}-8 & 1 & 4 \\4 & 4 & 7 \\1 & -8 & 4\end{array}\right]\]
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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Find the orthogonal trajectory of the curves 3x2y+2x3-y3-2y2 = ?, where &lpha is a constant
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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Show that { cosx, cos2x, cos3x.....} is a set of orthogonal fundtions over (-π, π), Hence construct an orthogonal set.
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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Find the values of a,b,c and A-1 when \[ A=\dfrac {1}{9} \begin{bmatrix} -8 &4 &a \\ 1 &4 &b \\4 &7 &c \end{bmatrix} \] is or orthogonal.
differential calculus and geometry updated 3.0 years ago by teamques10 ★ 65k
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