Transpose of $$$\left[\begin{array}{cc}\frac{\sqrt{6}}{3} & 0\\0 & \frac{\sqrt{3}}{3}\end{array}\right]$$$

The calculator will find the transpose of the $$$2$$$x$$$2$$$ matrix $$$\left[\begin{array}{cc}\frac{\sqrt{6}}{3} & 0\\0 & \frac{\sqrt{3}}{3}\end{array}\right]$$$, with steps shown.
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A

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Your Input

Calculate $$$\left[\begin{array}{cc}\frac{\sqrt{6}}{3} & 0\\0 & \frac{\sqrt{3}}{3}\end{array}\right]^{T}$$$.

Solution

The rows become the columns, and the columns become the rows.

Thus, the transpose of the matrix is $$$\left[\begin{array}{cc}\frac{\sqrt{6}}{3} & 0\\0 & \frac{\sqrt{3}}{3}\end{array}\right]$$$.

Answer

The transpose is $$$\left[\begin{array}{cc}\frac{\sqrt{6}}{3} & 0\\0 & \frac{\sqrt{3}}{3}\end{array}\right]\approx \left[\begin{array}{cc}0.816496580927726 & 0\\0 & 0.577350269189626\end{array}\right].$$$A


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