Final answer:
The all() function checks if all elements in an iterable are true, applied to matrices, it is used to check conditions across all elements of each row or column. The any() function checks for at least one true element, used to locate if any element in each row or column meets a specific condition. Both functions are utilized via list comprehensions or loops for the whole matrix.
Step-by-step explanation:
The all() and any() functions are built-in Python functions that can be applied to matrices, which are often represented as lists of lists in Python. The all() function checks if all elements within an iterable (like a matrix) are true. In the context of a matrix, all() would typically be used to check conditions across all elements in each row or column. For example, to use all() to check if all values in each row of a matrix are positive, you'd iterate over each row and apply the function.
The any() function checks if at least one element within an iterable is true. Again, for matrices, you can use any() to check if there's at least one element in each row or column that meets a certain condition. For instance, to find if any element in a row is zero, you would apply any() with a condition that looks for zeros.
Both functions are often used within list comprehensions or loops to perform these checks for the entire matrix, applying the function to each sub-list (row) of the matrix.