Hello there! Are you ready to enhance your JavaScript programming skills with another exciting exercise? In this unit, we will delve into the world of matrices. More specifically, we'll be transposing a given matrix. Let's dive into this matrix manipulation exercise without delay!

To begin, let's elaborate on the task at hand: we will write a JavaScript function named transformMatrix(). This function will accept a 2D array (which represents a matrix) containing integers as input. Your goal is to return another 2D array, which is the transposed version of the given matrix.

When we mention 'transposing a matrix,' we are referring to the process of switching its rows and columns. In other words, all the rows of the original matrix should become columns in the transposed matrix, and vice versa.

For instance, if the original matrix (input 2D array) is:

Then the transposed matrix (output 2D array) will be:

It is vital that your result maintains the integrity of the data types present in the original matrix. In simpler terms, the values in the input matrix are integers, and they should remain integers in the output matrix as well.

The initial step in building our solution involves determining the dimensions of the matrix. We need to know the number of rows and columns present in it. In JavaScript, the array length properties can provide this information. The number of rows is simply the length of the outer array, and the number of columns is the length of any of the inner arrays. It is important to note the inner arrays must all have the same length for the 2D array to be a proper matrix (and to allow for transposition).