Recent questions tagged matrix

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Find the basic feasible solutions of the system of equations :-$x_1+x_2+x_3=8,$$3x_1+2x_2=18,$$x_1,x_2,x_3≥ 0$
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What is the time complexity of best algorithm that decides whether a given directedgraph represented as adjacency Matrix contains a sink or not ?(a)O(V^2)(b)O(VlogV)(c)O(...
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Is the product of eigen values of a matrix equal to its determinant true for all the matrices?
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not getting the answer by 3*3 eigen value formula – (x^3-trace(a)*x^2+sum of minors of a(x)+|a|)eigen values are given as -2,3,6
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Consider the $n \times n$ matrix $M$ defined as follows:$$M=\left(\begin{array}{cccc}1 & 2 & \ldots & n \\n+1 & n+2 & \ldots & 2 n \\2 n+1 & 2 n+2 & \ldots & 3 n \\\vdots...
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To justify the OPTION B they gave an example of 2*2 matrix. However we can see that row 2 is linearly dependent on row1. Even though the 2nd row looks non-zero it can be ...