Hello there! Are you ready to enhance your programming skills with TypeScript? 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 TypeScript function named transformMatrix. This function will accept a 2D array of integers as input, representing a matrix. 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. 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 TypeScript, we can easily determine the dimensions, ensuring that type safety is maintained.