Recent questions tagged engineering-mathematics

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862 views
sir in this question m should be equal to n without this how rank=n?
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A cricket club has 15 members of whom only 5 can bowl. If the names of 15 members are put into a box and 11 are drawn at random. Then the probability of obtaining an elev...
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please explain me this question @Sachin Mittal 1. I am unable to understand this questioncan anyone
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837 views
Consider a quiz where a person is given two questions and he must decide which question to answer first. Question 1 will be answered correctly with probability of 0.8 and...
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Find the eigen values and eigen vector of the following matrix????
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Use LU Decomposition method to solve the following system.$\left\{\begin{matrix} & x_{1} +x_{2}-x_{3} =1 \\ & x_{1} +2x_{2}-2x_{3} =0 \\ & -2x_{1} +x_{2}+x_{3} =1 \end{ma...
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459 views
Solve the following system using Gauss elimination with partial pivoting.$\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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1 answers 1 answer
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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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523 views
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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521 views
Find equation of a line passes through the points = (0, 1, 2) and = (-1, 1, 1).
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698 views
can anyone verify if options are correct i am not satisfied with the solution given.
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564 views
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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1 answers 1 answer
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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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1 answers 1 answer
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English and American spelling are rigour and rigor, respectively. A man staying at Al Rashid hotel writes this word, and a letter taken at random from his spelling is fou...
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304 views
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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.1. How...
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912 views
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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4 answers 4 answers
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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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625 views
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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581 views
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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836 views
How the value of a1 = 3, a2 = 2 is calculated.Consider a sequence $\left\{a_{k}\right\}$ whose generating function is $G(x)=x^{2}+3 x+7+\left(\frac{1}{1-x^{2}}\right) ...
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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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1 1 answer
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874 views
why 4^10 is done.solution:Please explain the last portion why 4^ 10 is done.
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1 1 answer
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can this topic “PRENEX NORMAL FORM(PNF) ” is necsesary for gate or just i skip this topic.
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49. a) Show that ∀xP (x) ∧ ∃xQ(x) is logically equivalentto ∀x∃y (P (x) ∧ Q(y)), where all quantifiers havethe same nonempty domain.b) Show that ∀xP (x) ∨ ∃xQ(x) is equiv...