Question

What is the transpose of matrix​

Answer 1

Answer:

$\left[\begin{array}{ccc}1&4&3\\2&-1&2\\-3&2&-1\end{array}\right]$

Step-by-step explanation:

Given :-

A = $\left[\begin{array}{ccc}1&2&-3\\4&-1&2\\3&2&-1\end{array}\right]$

To find :-

Transpose of the matrix.

Solution :-

Let's know what is transpose of a matrix:

Let A be a given matrix, then the matrix obtained by interchanging the rows and columns of A is called the transpose of A and is denoted by Aᵗ. Ex: If A is an (m × n) matrix, then Aᵗ = (n × m) matrix.

Hence, we get:

∴ Aᵗ = $\left[\begin{array}{ccc}1&4&3\\2&-1&2\\-3&2&-1\end{array}\right]$