Transpose Matrix
Transpose the following matrix:
Expand Hint
Rows become columns and columns become rows.
Hint 2
$$$A=\begin{bmatrix}A & B & C\\ D & E & F\end{bmatrix}$$$
$$$A^T=\begin{bmatrix}A & D\\ B & E\\ C & F\end{bmatrix}$$$
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,
$$$\begin{bmatrix}2 & 1 & 0\\ 15 & 10 & 5\end{bmatrix}^T=\begin{bmatrix}2 & 15\\ 1 & 10\\ 0 & 5\end{bmatrix}$$$
$$$\begin{bmatrix}2 & 15\\ 1 & 10\\ 0 & 5\end{bmatrix}$$$
Time Analysis
See how quickly you looked at the hint, solution, and answer. This is important for making sure you will finish the FE Exam in time.- Hint: Not clicked
- Solution: Not clicked
- Answer: Not clicked
Similar Problems from FE Sub Section: Matrix Transpose
277. Matrix Transpose
509. Transpose Size
Similar Problems from FE Section: Matrices
277. Matrix Transpose
278. Matrix Inverse
279. Matrix Multiplication
509. Transpose Size
511. Inverse Matrix
518. Matrix Multiply
548. Inverse of Matrix