Recent questions tagged engineering-mathematics

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Use LU Decomposition method to solve the following system.$\left\{\begin{matrix} & x_{1} +x_{2}-x_{3} =1 \\ & x_{1} +2x_{2}-2x_{3} =0 \\ & -2x_{1} +x_{2}+x_{3} =1 \end{ma...
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Solve the following system using Gauss elimination with partial pivoting.$\left\{\begin{matrix} &2x_{1}+x_{2}+x_{3}=10\\ & 3x_{1}+2x_{2}+3x_{3}=18 \\ & 5x_{1}+4x_{2}+2x_{...
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Are the topics like vector calculus, laplace transformation and numerical methods a part for GATE CSE 2023 syllabus?
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What is the equation of the plane that contains point (-2, 4, 5) and the vector (7, 0, -6) is normal to the plane? And check if this plane intersects the y-axis.
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Find equation of a line passes through the points = (0, 1, 2) and = (-1, 1, 1).
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Can anyone please suggest any single resource which has a comprehensive list of Trigonometric Identities which might be useful to solve sums ?? (Inverses, Half angles, Do...
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Let X have a Poisson distribution with parameter λ = 1. What is the probability that X ≥ 2 given that X ≤ 4?
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Can somebody brief description about this topic(means formula or link to study).Actually this question is asked in TOC test, but looking more like mathematics part.
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While studying Linear algebra I got 2 perspectives. Which meaning out of these 2 is more accurate?
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If A is a non-zero column matrix of order n×1 and B is a non-zero row matrix of order 1×n then rank of AB equals ? Rank(ab) can be zero???
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Let $A$ be a $3$ x $3$ matrix with rank $2$. Then, $AX=0$ hasThe trivial solution $X=0$.One independent solution.Two independent solution.Three independent solution.
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For given Matrix:[ 1 2 3 1 5 1 3 1 1 ]Why does the sum of the eigen values of above matrix is the sum of diagonal elements of that matrix?
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MX = O is a homogeneous equation and such an equation when |M| = 0 has non trivial solution.M: Square MatrixO: Null MatrixKindly help me with the above statement.
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Does the given solution is correct:When S is symmetric and transitive, if S contain (3,1),(1,3) then (3,3) should also be present form transitivity. Please verify the sol...
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