# Recent questions tagged set

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Let $C[-1,1]$ be the real inner product space consisting of all continuous functions $f:[-1,1] \rightarrow \mathbb{R}$, with the inner product $\langle f, g\rangle:=\int_{-1}^{1} f(x) g(x) d x$.Let $C-1,1$ be the real inner product space consisting of all continuous functions $f:-1,1 \rightarrow \mathbb{R}$, with the inner product $\ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let \(\mathcal{P}_{2}$ be the space of polynomials $p(x)=a+b x+c x^{2}$ of degree at most 2 with the inner product $\langle p, q\rangle=\int_{-1}^{1} p(x) q(x) d x$.
Let $\mathcal{P}_{2}$ be the space of polynomials $p(x)=a+b x+c x^{2}$ of degree at most 2 with the inner product $\langle p, q\rangle=\int_{-1}^{1} p(x) q(x) d x$.Let $\mathcal{P}_{2}$ be the space of polynomials $p(x)=a+b x+c x^{2}$ of degree at most 2 with the inner product $\langle p, q\rangle=\int_{-1}^ ... close 0 answers 8 views close 0 answers 6 views Let \(V$ be the real vector space of continuous real-valued functions on the closed interval $[0,1]$, and let $w \in V$. For $p, q \in V$, define $\langle p, q\rangle=\int_{0}^{1} p(x) q(x) w(x) d x$.Let $V$ be the real vector space of continuous real-valued functions on the closed interval $0,1$, and let $w \in V$. For $p, q \in V$, defi ...
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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 $W$.
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 $W$.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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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 $\mathbb{R}$.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 ...
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Which of the following sets are linear spaces?
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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the inequality \(\frac{7}{3}<\frac{p}{3}$
Solve the inequality $\frac{7}{3}<\frac{p}{3}$Solve the inequality $\dfrac{7}{3}&lt;\dfrac{p}{3}$ ...
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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?Which of the following operations over a system of linear equations changes the solution set? &nbsp; A) interchanging two equations B) multiplying ...
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Prove that $A \cup \emptyset=A$
Prove that $A \cup \emptyset=A$Prove that $A \cup \emptyset=A$ ...
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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)Prove that $A \cup(B \cup C)=(A \cup B) \cup C$, (associative law) ...
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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 $A=B$.
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 $A=B$.Let $A=\{1,2,3,4\}$ and $B=\left\{x: x \in \mathbb{N}, x^{2}&lt;17\right\}$, 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?
What are some of the symbols in set theory?What are some of the symbols in set theory? ...
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Is marketing a subset of advertising?
Is marketing a subset of advertising?Is marketing a subset of advertising? ...
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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}$$\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. ...
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What is a dot (inner) product?
What is a dot (inner) product?What is a dot (inner) product? ...
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How do I explain the idea of n-space in algebra?
How do I explain the idea of n-space in algebra?How do I explain the idea of n-space in algebra? ...
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When are two complex numbers equal?
When are two complex numbers equal?When are two complex numbers equal? ...
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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.
Given that $z=1-\sqrt{3} i$, find the real number $k$ such that $z^{2}+k z$ is: (i) real (ii) purely imaginary.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
Let a relation $\mathrm{R}$ be defined by $\mathrm{R}=\{(4,5) ;(1,4) ;(4,6) ;(7,6) ;(3,7)\}$ then $\mathrm{R}^{-1} \mathrm{o} \mathrm{R}$ isLet 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
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 $R$ isLet $R$ 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 __________ ...
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Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{*} w_{j}$
Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{*} w_{j}$Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{} w_{j}$ ...
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What is an aysmptote?
The operation $\otimes$ is defined by $a \otimes b=\frac{a}{b}+\frac{b}{a}$. What is the value of $4 \otimes 8$ ?
The operation $\otimes$ is defined by $a \otimes b=\frac{a}{b}+\frac{b}{a}$. What is the value of $4 \otimes 8$ ?The operation $\otimes$ is defined by $a \otimes b=\frac{a}{b}+\frac{b}{a}$. What is the value of $4 \otimes 8$ ? ...