# Recent questions tagged numbers

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For non-zero real numbers one uses $\frac{1}{a}-\frac{1}{b}=\frac{b-a}{a b}$. Verify the following analog for invertible matrices $A, B$ :
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For non-zero real numbers one uses $\frac{1}{a}-\frac{1}{b}=\frac{b-a}{a b}$. Verify the following analog for invertible matrices $A, B$ :For non-zero real numbers one uses $\frac{1}{a}-\frac{1}{b}=\frac{b-a}{a b}$. Verify the following analog for invertible matrices $A, B$ : \ A^{- ...
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Show that $\operatorname{trace}(A B C)=\operatorname{trace}(C A B)=\operatorname{trace}(B C A)$.
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Show that $\operatorname{trace}(A B C)=\operatorname{trace}(C A B)=\operatorname{trace}(B C A)$.Let $A, B$, and $C$ be any $n \times n$ matrices. a) Show that $\operatorname{trace}(A B)=\operatorname{trace}(B A)$. b) Show that $\operator ... close 0 answers 4 views Let \(\mathcal{S}$ be the linear space of infinite sequences of real numbers $x:=\left(x_{1}, x_{2}, \ldots\right) .$ Define the linear map $L: \mathcal{S} \rightarrow \mathcal{S}$ byLet $\mathcal{S}$ be the linear space of infinite sequences of real numbers $x:=\left(x_{1}, x_{2}, \ldots\right) .$ Define the linear map $L: \m ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find a real \(2 \times 2$ matrix $A$ (other than $A=I$ ) such that $A^{5}=I$.
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Find a real $2 \times 2$ matrix $A$ (other than $A=I$ ) such that $A^{5}=I$.Find a real $2 \times 2$ matrix $A$ (other than $A=I$ ) such that $A^{5}=I$. ...
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For which real numbers $x$ do the vectors: $(x, 1,1,1),(1, x, 1,1),(1,1, x, 1),(1,1,1, x)$ not form a basis of $\mathbb{R}^{4}$ ?
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For which real numbers $x$ do the vectors: $(x, 1,1,1),(1, x, 1,1),(1,1, x, 1),(1,1,1, x)$ not form a basis of $\mathbb{R}^{4}$ ?For which real numbers $x$ do the vectors: $(x, 1,1,1),(1, x, 1,1),(1,1, x, 1),(1,1,1, x)$ not form a basis of $\mathbb{R}^{4}$ ? For each of th ...
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How do I convert decimal numbers to binary numbers?
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How do I convert decimal numbers to binary numbers?How do I convert decimal numbers to binary numbers? ...
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Find the common ratio of the geometric sequence $16,24,36,54, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eighth term of the sequence.Find the common ratio of the geometric sequence $16,24,36,54, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the ei ...
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Find the common ratio of the geometric sequence $64,-16,4,-1, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eighth term of the sequence.Find the common ratio of the geometric sequence $64,-16,4,-1, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the ei ...
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Find the common ratio of the geometric sequence $1,3,9,27, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eighth term of the sequence.
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Find the common ratio of the geometric sequence $1,3,9,27, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eighth term of the sequence.Find the common ratio of the geometric sequence $1,3,9,27, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eight ...
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Find the sum of the multiples of 3 between 28 and $112 .$
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Find the sum of the multiples of 3 between 28 and $112 .$Find the sum of the multiples of 3 between 28 and $112 .$ ...
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Find the constant second difference for the following sequence: $7 ; 4 ;-3 ;-14 ; \ldots$
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Find the constant second difference for the following sequence: $7 ; 4 ;-3 ;-14 ; \ldots$Find the constant second difference for the following sequence: \ 7 ; 4 ;-3 ;-14 ; \ldots \ ...
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Find the common second difference for the following sequence: $-13 ;-25 ;-43 ;-67 ; \ldots$
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Find the common second difference for the following sequence: $-13 ;-25 ;-43 ;-67 ; \ldots$Find the common second difference for the following sequence: \ -13 ;-25 ;-43 ;-67 ; \ldots \ ...
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Find the common second difference for the following sequence: $-7 ;-15 ;-25 ;-37 ; \ldots$
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Find the common second difference for the following sequence: $-7 ;-15 ;-25 ;-37 ; \ldots$Find the common second difference for the following sequence: \ -7 ;-15 ;-25 ;-37 ; \ldots \ ...
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What is aleph?
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What is aleph?What is aleph? ...
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Evaluate $1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}$
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Evaluate $1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}$Evaluate $1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}$ ...
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Evaluate $1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}$
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Evaluate $1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}$Evaluate $1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}$ ...
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How do ISBN numbers apply dot products?
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How do ISBN numbers apply dot products? How do ISBN numbers apply dot products? &nbsp; ...
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The expression $(1+\sqrt{3} i)^{-4}$ in standard form is given by:
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The expression $(1+\sqrt{3} i)^{-4}$ in standard form is given by:The expression $(1+\sqrt{3} i)^{-4}$ in standard form is given by: &nbsp; A. $-64$ B. $-2^{5} i$ C. 16 D. $-2-2 \sqrt{3} i$ E. $-\dfrac{1}{32}+\ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 De Moivre's Theorem gives$\cos 3 \theta$as: 0 answers 5 views De Moivre's Theorem gives$\cos 3 \theta$as:De Moivre's Theorem gives$\cos 3 \theta$as: ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The complex number$i^{19}$is equal to 0 answers 6 views The complex number$i^{19}$is equal toThe complex number$i^{19}$is equal to &nbsp; A) 1 B)$-1$C) i D)$-i$E) none of the above ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The complex number$\frac{1-2 i}{1+2 i}$is equal to 0 answers 5 views The complex number$\frac{1-2 i}{1+2 i}$is equal toThe complex number$\dfrac{1-2 i}{1+2 i}$is equal to &nbsp; A)$\dfrac{3}{5}+\dfrac{4}{5} i$B)$-\dfrac{3}{5}+\dfrac{4}{5} i$C)$\dfrac{3}{5}-\ ...
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Solve the equation $$z^{3}+8 i=0$$
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Solve the equation $$z^{3}+8 i=0$$Solve the equation $$z^{3}+8 i=0$$ ...
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Interactive Quiz - Rounding Off Numbers Quiz
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Interactive Quiz - Rounding Off Numbers Quiz Interactive Quiz - Rounding Off Numbers Quiz &nbsp; ...
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Speak the answer. What is 2 + 2 ?
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Speak the answer. What is 2 + 2 ? Speak the answer. What is 2 + 2 ? &nbsp; &nbsp; ...
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Consider the sequence: $\frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots$
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Consider the sequence: $\frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots$Consider the sequence: \ \frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots \ a) If the pattern continues in the same way, write ...
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