Example:
        input: a = [[1,2,3],[4,5,6]]
        output: [[1,4],[2,5],[3,6]]
        reasoning: The transpose of a matrix is obtained by flipping rows and columns.

Transpose of a Matrix

Consider a matrix \(M\) and its transpose \(M^T\), where: Original Matrix \(M\): \[ M = \begin{pmatrix} a & b & c \\ d & e & f \end{pmatrix} \] Transposed Matrix \(M^T\): \[ M^T = \begin{pmatrix} a & d \\ b & e \\ c & f \end{pmatrix} \] Transposing a matrix involves converting its rows into columns and vice versa. This operation is fundamental in linear algebra for various computations and transformations.

def transpose_matrix(a: list[list[int|float]]) -> list[list[int|float]]:
    return [list(i) for i in zip(*a)]