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If A is an $n\times n$ matrix and u and v are $n\times 1$ matrices, then prove that $\boldsymbol{A u} \cdot \mathbf{v}=\mathbf{u} \cdot \boldsymbol{A}^{T} \mathbf{v}$
If A is an $n\times n$ matrix and u and v are $n\times 1$ matrices, then prove that $\boldsymbol{A u} \cdot \mathbf{v}=\mathbf{u} \cdot \boldsymbol{A}^{T} \mathbf{v}$If A is an $n\times n$ matrix and u and v are $n\times 1$ matrices, then prove that $\boldsymbol{A u} \cdot \mathbf{v}=\mathbf{u} \cdot \boldsymbol{A} ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that$D_{x}^{m}(f \cdot f)=0$, for$m \quad$odd 0 answers 19 views Show that$D_{x}^{m}(f \cdot f)=0$, for$m \quad$oddShow that$D_{x}^{m}(f \cdot f)=0$, for$m \quad$odd ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that $$D_{x}^{m}(f \cdot g)=(-1)^{m} D_{x}^{m}(g \cdot f)$$ 0 answers 22 views Show that $$D_{x}^{m}(f \cdot g)=(-1)^{m} D_{x}^{m}(g \cdot f)$$Show that $$D_{x}^{m}(f \cdot g)=(-1)^{m} D_{x}^{m}(g \cdot f)$$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that $$D_{x}^{m}(f \cdot 1)=\frac{\partial^{m} f}{\partial x^{m}}$$ 0 answers 20 views Show that $$D_{x}^{m}(f \cdot 1)=\frac{\partial^{m} f}{\partial x^{m}}$$Show that $$D_{x}^{m}(f \cdot 1)=\frac{\partial^{m} f}{\partial x^{m}}$$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What popular American reality TV show aired its final episode this year after 20 seasons? 1 answer 51 views What popular American reality TV show aired its final episode this year after 20 seasons?What popular American reality TV show aired its final episode this year after 20 seasons? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that $$\| x + y \| \geq | \| x | | - \| y \| |$$ 0 answers 44 views Show that $$\| x + y \| \geq | \| x | | - \| y \| |$$Show that $$&nbsp;&nbsp;\| x + y \| \geq | \| x | | - \| y \| | &nbsp;&nbsp;&nbsp;$$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 How can I show that the following expression is always negative? 1 answer 67 views How can I show that the following expression is always negative? How can I show that the following expression is always negative? -x2 + 8x - 17 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove the identity:$\tan{x}\cdot \sin{x}=\sec{x}-\cos{x}$1 answer 89 views Prove the identity:$\tan{x}\cdot \sin{x}=\sec{x}-\cos{x}$Prove the identity:$\tan{x}\cdot \sin{x}=\sec{x}-\cos{x}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the Density of$\mathbb{Q}$? 1 answer 50 views What is the Density of$\mathbb{Q}$?What is the Density of$\mathbb{Q}$? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What are the additive and multiplicative identities for$\mathbb{Z} \oplus \mathbb{Z}$? Show that there are non-zero elements which multiply to 0. 0 answers 101 views What are the additive and multiplicative identities for$\mathbb{Z} \oplus \mathbb{Z}$? Show that there are non-zero elements which multiply to 0.What are the additive and multiplicative identities for$\mathbb{Z} \oplus \mathbb{Z}$? Show that there are non-zero elements which multiply to 0. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that$\mathbb{Z}[\sqrt{3}]$is a commutative ring. 1 answer 242 views Show that$\mathbb{Z}[\sqrt{3}]$is a commutative ring.Show that$\mathbb{Z}\sqrt{3}\$ is a commutative ring. ...