Transpose Size

#509 / Math Easy

Consider a 2 x 9 matrix. What is the new matrix size if it were transposed?

Expand Hint

$$$A=\begin{bmatrix}A & B & C\\ D & E & F\end{bmatrix}$$$

$$$A^T=\begin{bmatrix}A & D\\ B & E\\ C & F\end{bmatrix}$$$

Hint 2

Rows become columns and columns become rows.

When transposing a matrix, the rows become columns, and the columns become rows.

$$$A=\begin{bmatrix}A & B & C\\ D & E & F\end{bmatrix}$$$

$$$A^T=\begin{bmatrix}A & D\\ B & E\\ C & F\end{bmatrix}$$$

Thus, a 2 x 9 matrix will turn into a 9 x 2 matrix.

9 x 2

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