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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 phenjoisilab • 0

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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 4.0 years ago by pg1118329 • 0

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Find corresponding fuzzy sets

engineering mathematics updated 4.6 years ago by yashbeer ★ 11k

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

engineering mathematics updated 3.7 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 3.7 years ago by phenjoisilab • 0

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

engineering mathematics updated 4.0 years ago by krithikkm200 • 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 4.0 years ago by krithikkm200 • 10

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Find the Eigen values & Eigen vectors of the following matrices

engineering mathematics updated 4.0 years ago by rjran106 • 20

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Find th extremals of $\int ^{x_2}_{x_1}(1+x^2y^{'})y^{'}dx$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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627

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Solve the Euler's equation for $\int ^{x_2}_{x_1}(\frac{\sqrt 1+y^{'2})}{x}) dx$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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668

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Solve the Euler's equation for $\int ^{x_2}_{x_1}(\frac{\sqrt 1+y^{'2})}{y}) dx$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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759

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Find th extremals of $\int^1_{0}(y^{'2}+12xy)dx$ with y(0)=0 and y(1)=1

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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652

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Find th extremals of the function $\int^{x_2}_{x_1}(y^2-y^{'2}-2ycoshx)dx$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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707

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Find th extremals of $\int ^\frac{\pi}{2}_{0} (y^{'2}-y^2+2xy)dx$ with y(0)=0 and $y(\pi/2)$=0

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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693

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Find the curve y= f(x) for which $\int^{x}_{0}(y^{'2}-y^2)dx$ is extremum if $\int^{x}_{0}(y)dx=1$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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684

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Find the curve y= f(x) for which $\int^{x_2}_{x_1}(y\sqrt{1+y^{'2}})dx$ is extremum subject to constraint $\int^{x_2}_{x_1}(\sqrt{1+y^{'2}})dx=1$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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927

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

engineering mathematics updated 4.3 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 4.3 years ago by teamques10 ★ 70k

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823

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For real values of a,b and $\theta$ ,show that using Cauchy-Schwartz inequality .

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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747

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Find a unit vector in $R^3$ orthogonal to both u=(1,1,0),v=(0,1,1)

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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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 4.3 years ago by teamques10 ★ 70k

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691

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Is W={${(\alpha,1,1)|\alpha \epsilon R}$} is a subspace of $R^3$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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601

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Let $v_1$=(1,0,0),$v_2$=(0,1,0),$v_3$=(0,0,1) be three vector in $R^3$ .Show that every vector in $R^3$ is a linear combination of $v_1,v_2,v_3$ Express (2 ,-3 ,5) in terms of $v_1,v_2,v_3$

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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619

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Find an orthogonal basis for the subspaces $R^3$ by applying Gram-Schmidt process where S={(1,2,0),(0,3,1)}

engineering mathematics updated 4.3 years ago by teamques10 ★ 70k

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938

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Let $R^4$ have the Euclidean inner product.

engineering mathematics updated 3.9 years ago by phenjoisilab • 0