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The first four moments of distribution about the value 4 are -1.5, 17, -30 and 108. Obtain the first four central moments, mean, standard deviation and coefficient of skewness and kurtosis.

engineering mathematics updated 3.9 years ago by pg1118329 • 0

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Find the non-singular matrices P and Q such that PAQ is in Normal Form. Also find rank of A. \[A=\ \left[\begin{array}{ccc}4 & 3 & 1 & 6 \\2 & 4 & 2 & 2 \\12 & 14 & 5 & 16\end{array}\right]\]

engineering mathematics updated 4.0 years ago by rjran106 • 20

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Solve the equation 7coshx+8sinhx = 1 for real values of x.

engineering mathematics updated 4.0 years ago by rjran106 • 20

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Using Cramers rule, solve x-y-2z=1; 2x+3y+4z=4; 3x-2y-6z=5

engineering mathematics updated 4.0 years ago by rjran106 • 20

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Find the value of P for which the following matrix A will be of rank one, rank two, rank three where \[\left[A=\begin{array}{ccc}3 & p & p \\p & 3 & p \\p & p & 3\end{array}\right]\]

engineering mathematics updated 4.8 years ago by teamques10 ★ 70k

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In a certain college 4% of the boys and 1% of the girls are taller than 1.8 mts. further more 60% of the students are girls, if a student selected at random is taller than 1.8mts, what is the probabil

engineering mathematics updated 4.2 years ago by yerasylmakulbe671 • 10

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Find the non singular matrices P and Q such that PAQ is in normal form.Also find rank of A. $ \\ \; \\ A=\left[ \begin{array}{ccc} 4 & 3 & 1 & 6\\ 2 & 4 & 2 & 2\\12 & 14 & 5 & 16\end{array} \right] $

engineering mathematics updated 3.9 years ago by phenjoisilab • 0

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Find corresponding fuzzy sets

engineering mathematics updated 4.5 years ago by yashbeer ★ 11k

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If z = f(x,y) , x=(eu + e-v), y=(e-u - ev) \[ \dfrac{\partial z}{\partial u}-\dfrac{\partial z}{\partial v} = x\dfrac{\partial z}{\partial x}-y\dfrac{\partial z}{\partial y}\]

engineering mathematics updated 4.8 years ago by teamques10 ★ 70k

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Through an example illustrate how the triangular array can be used to optimally store and count pairs in a frequent itemset mining algorithm

engineering mathematics updated 3.8 years ago by phenjoisilab • 0

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Non trivial solution

engineering mathematics updated 4.0 years ago by rjran106 • 20

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Find two non-singular matrices P & Q such that PAQ is in normal form where \[A=\left[\begin{array}{ccc}1 & 2 & 3 & -4 \\2 & 1 & 4 & -5 \\-1 & -5 & -5 & 7\end{array}\right]\]

engineering mathematics updated 4.2 years ago by yerasylmakulbe671 • 10

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Solve $6\frac{d^2y}{dx^2}+ 17\frac{dy}{dx}+12y=e^{-3/2x}+2^x$ .

engineering mathematics updated 3.9 years ago by krithikkm200 • 10

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Let $R^4$ have the Euclidean inner product. Use Gram-schmidt process to transform the basis {$u_1$,$u_2$,$u_3$} in to orthonormal basis where $u_1$= (1,0,1,1), $u_2$= (-1,0,-1,1), $u_3$= (0,-1,1,1)

engineering mathematics updated 3.9 years ago by phenjoisilab • 0

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Show that V=${(x,y)|x=3y}$ is a subspace of $R^2$ State all possible subspaces of $R^2$

engineering mathematics updated 4.2 years ago by teamques10 ★ 70k

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Using Rayleigh -Ritz method ,solve the boundary value problem $\int^{1}_{0}(xy+\frac{1}{2}y^{'2})dx;0\leq x \leq 1$ given that y(0)=y(1)=0.

engineering mathematics updated 4.2 years ago by teamques10 ★ 70k

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Using duality solve the following L.P.P Max. $Z = 5x_1 -2x_2 + 3x_3$

engineering mathematics updated 3.6 years ago by phenjoisilab • 0

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Using Dual Simplex method soive the following L.P.P Max. $Z = -2x_1 - x_3$

engineering mathematics updated 3.6 years ago by phenjoisilab • 0

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Reduce the following matrix into normal form and find its rank \[ \left[ {\begin{array}{cc} 2 & -1 & 1 & 1\\ 1 & 0 & 1 & 2\\ 3 & 3 & 3 & 1\\ 0 & -4 & -1 & 2\\ \end{array} } \right]\]

engineering mathematics updated 4.8 years ago by teamques10 ★ 70k

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Mumbai University Linear Algebra using Python

engineering mathematics updated 6.9 years ago by rachanakadam566 • 0

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Matrix By PAQ method

engineering mathematics updated 4.0 years ago by rjran106 • 20

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Verify Cayley-Hamilton Theorem for the matrix A and hence find $A^{-1} A^{-2} and A^4$ where $A = \begin{bmatrix} \ 1 & 2 & -2 \\ \ -1 & 3 & 0 \\ \ 0 & -2 & 1 \\ \end{bmatrix}$

engineering mathematics updated 4.2 years ago by teamques10 ★ 70k

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If $A = \begin{bmatrix} \ 2 & 3 \\ \ -3 & -4 \\ \end{bmatrix}$ ,prove that $A^{50}=\begin{bmatrix} \ -149 & -150 \\ \ 150 & 151 \\ \end{bmatrix}$

engineering mathematics updated 4.2 years ago by teamques10 ★ 70k

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Solve Homogeneous equation

engineering mathematics updated 4.2 years ago by yerasylmakulbe671 • 10

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Using Cauchy's Residue theorem evaluate $\oint_{c}e^{1/z}sin( \frac{1}{z})dz$ where c is |z|=1.

engineering mathematics updated 4.2 years ago by teamques10 ★ 70k