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  1. Ana Sayfa
  2. Hesaplayıcılar
  3. Hesaplayıcılar: Lineer Cebir
  4. Lineer Cebir Hesaplayıcı

$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$

Hesaplayıcı $$$1$$$x$$$2$$$ boyutlu $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$ matrisini $$$2$$$x$$$1$$$ boyutlu $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$ matrisiyle çarpar, adımlar gösterilerek.

İlgili hesap makinesi: Matris Hesaplayıcı

$$$\times$$$
A
$$$\times$$$
A

Hesap makinesi bir şeyi hesaplayamadıysa, bir hata tespit ettiyseniz veya bir öneriniz/geri bildiriminiz varsa, lütfen bizimle iletişime geçin.

Girdiniz

Hesaplayın $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right].$$$

Çözüm

$$$\left[\begin{array}{cc}{\color{Violet}\frac{\sqrt{2}}{2}} & {\color{OrangeRed}\frac{\sqrt{2}}{2}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{Purple}\frac{\sqrt{2}}{2}}\\{\color{Violet}\frac{\sqrt{2}}{2}}\end{array}\right] = \left[\begin{array}{c}{\color{Violet}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Purple}\left(\frac{\sqrt{2}}{2}\right)} + {\color{OrangeRed}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Violet}\left(\frac{\sqrt{2}}{2}\right)}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$

Cevap

$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$A


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