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Recent questions and answers in Linear Algebra
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1
GATE2017 EC2: 28
If the vector function $\vec{F}=\widehat{a_x}(3yk_1z)+\widehat{a_y}(k_2x2z)\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k_2$ and $k_3$, respectively, are 0.3, 2.5, 0.5 0.0, 3.0, 2.0 0.3, 0.33, 0.5 4.0, 3.0, 2.0
asked
Nov 23, 2017
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Linear Algebra
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gate2017ec2
vectoranalysis
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2
GATE2017 EC2: 30
The minimum value of the function $f(x)=\frac{1}{3} x(x^23)$ in the interval $100≤x≤100$ occurs at x = ________.
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Nov 23, 2017
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Linear Algebra
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admin
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gate2017ec2
0
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3
GATE2017 EC2: 4
The residues of a function $f(z)=\frac1{(z4)(z+1)^3 }$ are $\frac{1}{27}$ and $\frac{1}{125}$ $\frac{1}{125}$ and $\frac{1}{125}$ $\frac{1}{27}$ and $\frac{1}{5}$ $\frac{1}{125}$and $\frac{1}{5}$
asked
Nov 23, 2017
in
Linear Algebra
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admin
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2.7k
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gate2017ec2
0
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0
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4
GATE2017 EC2: 1
The rank of the matrix $\begin{bmatrix} 1 & 1& 0& 0& 0& \\ 0& 0& 1& 1& 0& \\ 0& 1& 1& 0& 0& \\ 1& 0& 0& 0& 1& \\ 0& 0& 0& 1& 1& \end{bmatrix}$ is ________.
asked
Nov 23, 2017
in
Linear Algebra
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admin
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2.7k
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gate2017ec2
matrixalgebra
rank
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5
GATE2017 EC1: 48
Which one of the following options correctly describes the locations of the roots of the equation $s^{4}+s^{2}+1=0$ on the complex plane? Four left half plane(LHP) roots One right half plane(RHP) root,one LHP root and two roots on the imaginary axis Two RHP roots and two LHP roots All four roots are on the imaginary axis
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Nov 17, 2017
in
Linear Algebra
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admin
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2.7k
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gate2017ec1
0
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0
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6
GATE2017 EC1: 2
The rank of the matrix M $\begin{bmatrix} 5&10&10 \\ 1 &0 &2 \\ 3&6&6 \end{bmatrix}$is 0 1 2 3
asked
Nov 17, 2017
in
Linear Algebra
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admin
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2.7k
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gate2017ec1
matrixalgebra
rank
0
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7
GATE2017 EC1: 3
Consider the following statements about the linear dependence of the real valued function $y_{1}=1,y_{2}=x$ and $y_{3}=x^{2}$ over the field of real numbers. $y_{1},y_{2}$ and $y_{3} $ are linearly independent on $1\leq x\leq 0$ ... Which one among the following is correct? Both I and II are true Both I and III are true Both II and IV are true Both III and IV are true
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Nov 17, 2017
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Linear Algebra
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admin
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2.7k
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gate2017ec1
linearequations
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8
GATE2017 EC1: 1
Consider the 5X 5 matrix $\begin{bmatrix} 1&2&3&4&5\\ 5&1 &2& 3 &4\\ 4&5&1&2&3\\ 3&4&5&1&2\\ 2&3&4&5&1 \end{bmatrix}$ It is given that A has only one real eigenvalue. Then the real eigenvalue of A is 2.5 0 15 25
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Nov 17, 2017
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Linear Algebra
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admin
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2.7k
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gate2017ec1
matrixalgebra
eigenvalues
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