Answer
See the explanation
Work Step by Step
Here's a Python function that fulfills the described functionality:
```python
def set_zeroes(matrix):
rows, cols = len(matrix), len(matrix[0])
zero_rows, zero_cols = set(), set()
# Find rows and columns with zeros
for i in range(rows):
for j in range(cols):
if matrix[i][j] == 0:
zero_rows.add(i)
zero_cols.add(j)
# Set entire rows to zero
for row in zero_rows:
matrix[row] = [0] * cols
# Set entire columns to zero
for col in zero_cols:
for i in range(rows):
matrix[i][col] = 0
```
This function takes a matrix as input and sets the entire row and column to zero if any element in the matrix is zero.
