Solution: Transpose Matrix
Let’s solve the Transpose Matrix problem using the Matrices pattern.
We'll cover the following
Statement
Given a matrix represented as a 2D integer list, return its transpose. The transpose of a matrix is obtained by swapping its rows with its columns or vice versa.
Constraints:
m
,n
matrix[i][j]
Solution
The idea is to calculate the transpose of a given matrix by swapping its rows with columns. The matrix is flipped over, converting the first row into the first column, the second row into the second column, and so forth. The result is a new matrix in which the element at the position
Here’s the step-by-step implementation of the solution:
Start by calculating the number of
rows
andcolumns
in the original matrix.A new matrix,
result
, is initialized with dimensionscolumns x rows
.Iterate over each element of the original matrix row-wise using a nested loop.
The outer loop runs over each row
i
of the original matrix.The inner loop runs over each column
j
.During each iteration, the element at position
[i][j]
in the original matrix is placed in position[j][i]
in theresult
matrix.
The
result
matrix, which now holds the transposed version of the original matrix, is returned after all elements have been processed.
Let’s look at the following illustration to get a better understanding of the solution:
Level up your interview prep. Join Educative to access 80+ hands-on prep courses.