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shaily.mishra30

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  • 130
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Top contributions by shaily.mishra30

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Show that every square matrix can be uniquely expressed as a sum of symmetric and skew symmetric matrix.
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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32k
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1
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Fit a second degree parabolic curve to the following data:
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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2
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State and prove Euler theorem for a homogeneous function in two variables and find $ x\dfrac{\partial u}{\partial x}+y\dfrac{\partial u}{\partial y} \;\; where\;u=\dfrac{\sqrt{x}+\sqrt{y}}{x+y} $
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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29k
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1
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State and prove Euler's theorem for three variables and hence find the following
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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1
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22k
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1
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Reduce matrix A to normal form and find its rank where $ \\ \; \\ A=\left[ \begin{array}{cccc} 1 & 2 & 3 & 2 \\ 2 & 3 & 5 & 1 \\ 1 & 3 & 4 & 5 \end{array} \right] $
updated 5.2 years ago by shaily.mishra30 ♦ 420
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Show that every square matrix can be uniquely expressed as the sum of Hermitian and skew Hermitian matrix.
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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Divide 24 into 3 parts such that the product of the first, square of second and cube of the third is maximum.
updated 5.2 years ago by shaily.mishra30 ♦ 420
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17k
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Find two non-singular matrices P & Q such that PAQ is in normal form where$ A= \left[ \begin{array}{cccc} 1 & 2 & 3 & -4 \\ 2 & 1 & 4 & -5 \\ -1 & -5 & -5 & 7 \end{array}\right]$ Also find rank of A
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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If 'A' is Skew Symmetric matrix of odd order, then prove that it is singular.
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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If $ u=f(x-y,y-z,z-x) , $ then show that $ \dfrac{\partial u}{\partial x} + \dfrac{\partial u}{\partial y} + \dfrac{\partial u}{\partial z} \;=\; 0 $
applied mathematics 1 updated 17 months ago by sanketshingote ♦ 640
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A: Divide 24 into 3 parts such that the product of the first, square of second and
updated 5.2 years ago by shaily.mishra30 ♦ 420
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678
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A: Show that every square matrix can be uniquely expressed as a sum of symmetric an
updated 5.3 years ago by ramnath ♦ 8.1k
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520
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A: Solve the following equations by Gauss-Siedel Method: 27x+6y-z=85, 6x+15y+2z=
updated 5.2 years ago by shaily.mishra30 ♦ 420
1
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459
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1
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A: Fit a second degree parabolic curve to the following data:
updated 5.2 years ago by shaily.mishra30 ♦ 420
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386
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A: Show that every square matrix can be uniquely expressed as the sum of Hermitian
updated 3.7 years ago by sanketshingote ♦ 640
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A: If $ x = rcos\theta \; y=rsin\theta. \; Find \frac{\partial (x,y) }{\partial (r,
updated 5.3 years ago by shaily.mishra30 ♦ 420
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A: Solve by Crout's method the following system of equations: 3x+2y+7z=4, 2x+3y+z=
updated 5.2 years ago by shaily.mishra30 ♦ 420
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A: Solve correctly upto three iterations the following equations by Gauss-Siedal me
updated 5.2 years ago by shaily.mishra30 ♦ 420
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A: If $u=x^2-y^2 \; , \; v=2xy \; and \; z=f(u,v) $ prove that $ 4\sqrt{u^2+v^2} \b
updated 5.2 years ago by shaily.mishra30 ♦ 420
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A: If $ u=2xy \;, \; v=x^2-y^2 \; and \; x=rcos\theta \; and \; y=rsin\theta \; , \
updated 5.2 years ago by sanjayk ♦ 30

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