query: $C_o= \{(x_n):x_n \in R, x_n \rightarrow 0 \}$ and $ M=\{(x_n):x_n \in C_0,~~ x_1+ x_2+...+x_{10}=0\}$ then dimension of $(\frac{C_0}{M})$ is equal to
positive_passages.docid: 155066
positive_passages.text: Dimension of the quotient space $\frac{C_{0}}{M}.$
negative_passages.docid: 40154
negative_passages.text: Finding the dimension of real symmetric matrices with trace zero
negative_passages.docid: 46775
negative_passages.text: If $\sigma_n=\frac{s_1+s_2+\cdots+s_n}{n}$ then $\operatorname{{lim sup}}\sigma_n \leq \operatorname{lim sup} s_n$
negative_passages.docid: 22573
negative_passages.text: Volume of $T_n=\{x_i\ge0:x_1+\cdots+x_n\le1\}$
negative_passages.docid: 121156
negative_passages.text: Prove that: $\gcd[a,b,c]=\frac{abc.\operatorname{lcm}(a,b,c)}{\operatorname{lcm}(a,b)\operatorname{lcm}(a,c)\operatorname{lcm}(b,c)}$
negative_passages.docid: 1162
negative_passages.text: Why $\{\mathbf{0}\}$ has dimension zero?
negative_passages.docid: 62303
negative_passages.text: For $V$ vector space of dimension $n$ under $\mathbb C$ and $T: V \to V $ linear transformation , show $V= \ker T^n \oplus $ Im $T^n$
negative_passages.docid: 117468
negative_passages.text: $o(g^{k})=\frac{o(g)}{\gcd(o(g),k)}$ order of a power of a group element.
negative_passages.docid: 257
negative_passages.text: Prove that : $m_{a}m_{b}m_{c}\leq\frac{Rs^{2}}{2}$
negative_passages.docid: 104258
negative_passages.text: Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
negative_passages.docid: 107520
negative_passages.text: Krull dimension of $\mathbb{C}[x_1, x_2, x_3, x_4]/\left$
negative_passages.docid: 156831
negative_passages.text: Prove $\Sigma_{k=0}^{n-1}\lfloor x+\frac{k}{n}\rfloor=\lfloor nx\rfloor$ , n is a Natural Number
negative_passages.docid: 34520
negative_passages.text: Is $0\,\mathrm{m}$ dimensionless?
negative_passages.docid: 73773
negative_passages.text: $C(M)=\{A\in M_n(\mathbb{C}) \mid AM=MA\}$ is a subspace of dimension at least $n$.
negative_passages.docid: 3356
negative_passages.text: Why $\sum_{k=0}^m x^k $ is equal to $\dfrac{x^{m+1}-1}{x-1} $?
negative_passages.docid: 142028
negative_passages.text: If $\vec{a},\vec{b},\vec{c},\vec{d}$are unit vectors, $(\vec{a}\times\vec{b}).(\vec{c}\times\vec{d})=1$ and $\vec{a}.\vec{c}=\frac{1}{2}$,then
negative_passages.docid: 117922
negative_passages.text: Is $\frac{a+b}{c+d}0$?