Español | Português
  1. Home
  2. Calculators
  3. Calculators: Linear Algebra
  4. Linear Algebra Calculator

Transpose of $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]$$$

The calculator will find the transpose of the $$$3$$$x$$$3$$$ matrix $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]$$$, with steps shown.
$$$\times$$$

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Calculate $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]^{T}$$$.

Solution

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

Thus, the transpose of the matrix is $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]$$$.

Answer

The transpose is $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]$$$A.