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Let \(U\) and \(V\) both be two-dimensional subspaces of \(\mathbb{R}^{5}\), and let \(W=U \cap V\). Find all possible values for the dimension of \(W\).
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Let \(C(\mathbb{R})\) be the linear space of all continuous functions from \(\mathbb{R}\) to \(\mathbb{R}\).
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Let \(C(\mathbb{R})\) be the linear space of all continuous functions from \(\mathbb{R}\) to \(\mathbb{R}\).Let \(C(\mathbb{R})\) be the linear space of all continuous functions from \(\mathbb{R}\) to \(\mathbb{R}\). a) Let \(S_{c}\) be the set of different ...
by MathsGee Platinum
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asked in Mathematics 13 hours ago
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Which of the following sets are linear spaces?
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Which of the following sets are linear spaces?Which of the following sets are linear spaces? a) \(\left\{X=\left(x_{1}, x_{2}, x_{3}\right)\right.\) in \(\mathbb{R}^{3}\) with the property \(\lef ...
by MathsGee Platinum
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asked in Mathematics 13 hours ago
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Solve the inequality \(\frac{7}{3}<\frac{p}{3}\)
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Solve the inequality \(\frac{7}{3}<\frac{p}{3}\)Solve the inequality \(\dfrac{7}{3}&lt;\dfrac{p}{3}\) ...
by Pieter SIlver Status
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asked in Mathematics 1 day ago
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Which of the following operations over a system of linear equations changes the solution set?
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Which of the following operations over a system of linear equations changes the solution set?Which of the following operations over a system of linear equations changes the solution set? &nbsp; A) interchanging two equations B) multiplying ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Prove that \(A \cup \emptyset=A\)
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Prove that \(A \cup \emptyset=A\)Prove that \(A \cup \emptyset=A\) ...
by MathsGee Platinum
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asked in Mathematics Jan 8
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Prove that \(A \cup(B \cup C)=(A \cup B) \cup C\), (associative law)
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Prove that \(A \cup(B \cup C)=(A \cup B) \cup C\), (associative law)Prove that \(A \cup(B \cup C)=(A \cup B) \cup C\), (associative law) ...
by MathsGee Platinum
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asked in Mathematics Jan 8
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 Let \(A=\{1,2,3,4\}\) and \(B=\left\{x: x \in \mathbb{N}, x^{2}<17\right\}\), where \(\mathbb{N}\) is the set of natural numbers. Show that \(A=B\).

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What are some of the symbols in set theory?
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What are some of the symbols in set theory?What are some of the symbols in set theory? ...
by MathsGee Platinum
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asked in Data Science & Statistics Jan 8
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Is marketing a subset of advertising?
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Is marketing a subset of advertising?Is marketing a subset of advertising? ...
by marketing_forum Wooden
(208 points)
asked in Marketing Dec 11, 2021
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\(\alpha\) and \(\beta\) are the roots of the equation \(2 x^{2}-3 x+4=0\). Find \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\)
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\(\alpha\) and \(\beta\) are the roots of the equation \(2 x^{2}-3 x+4=0\). Find \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\)\(\alpha\) and \(\beta\) are the roots of the equation \(2 x^{2}-3 x+4=0\). Find \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}\) A. \(\frac{-9}{8}\) B. ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 11, 2021
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What is a dot (inner) product?
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What is a dot (inner) product?What is a dot (inner) product? ...
by Maths Genie Bronze Status
(5,362 points)
asked in Mathematics Aug 9, 2021
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How do I explain the idea of n-space in algebra?
1 answer 38 views
How do I explain the idea of n-space in algebra?How do I explain the idea of n-space in algebra? ...
by Maths Genie Bronze Status
(5,362 points)
asked in Mathematics Aug 9, 2021
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When are two complex numbers equal?
1 answer 121 views
When are two complex numbers equal?When are two complex numbers equal? ...
by MathsGee Platinum
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asked in Mathematics Aug 8, 2021
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Given that $z=1-\sqrt{3} i$, find the real number $k$ such that $z^{2}+k z$ is: (i) real (ii) purely imaginary.
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Let a relation $\mathrm{R}$ be defined by $\mathrm{R}=\{(4,5) ;(1,4) ;(4,6) ;(7,6) ;(3,7)\}$ then $\mathrm{R}^{-1} \mathrm{o} \mathrm{R}$ is
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Let $R$ be the relation on the set $R$ of all real numbers defined by a $R b$ if and only if $|a-b| \leq 1$. Then $R$ is
1 answer 70 views
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Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{*} w_{j}$
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Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{*} w_{j}$Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{} w_{j}$ ...
by MathsGee Platinum
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asked in Mathematics Jul 24, 2021
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What is an aysmptote?
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What is an aysmptote?What is an aysmptote? ...
by MathsGee Platinum
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asked in Mathematics Jun 27, 2021
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The operation $\otimes$ is defined by $a \otimes b=\frac{a}{b}+\frac{b}{a}$. What is the value of $4 \otimes 8$ ?
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What are complex conjugates?
1 answer 49 views
What are complex conjugates?What are complex conjugates? ...
by MathsGee Platinum
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asked in Mathematics Jun 19, 2021
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How are complex numbers related to real numbers?
1 answer 78 views
How are complex numbers related to real numbers?How are complex numbers related to real numbers? ...
by MathsGee Platinum
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asked in Mathematics Jun 19, 2021
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Find the area of the shaded triangle if the area of an equilateral triangle $\triangle A B C$ is 36
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Find the area of the shaded triangle if the area of an equilateral triangle $\triangle A B C$ is 36 Find the area of the shaded triangle if the area of an equilateral triangle $\triangle A B C$ is 36 ...
by MathsGee Platinum
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asked in Mathematics Jun 16, 2021
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Points $A(-3,2)$ and $B(1,4)$ are end points of the diameter of the circle. The equation of the circle is:
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One of the solutions of equation $z^{3}=w$ is $z_{1}=-5 \sqrt{3}+5 i$. What is one of other two solutions if $w$ is a complex number?
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