Reshaping and Flattening
Reshaping changes how the same numbers are arranged. It should not change what the numbers are.
Suppose an image has shape (2, 3).
[
[1, 2, 3],
[4, 5, 6]
]
Flattening turns it into one long vector:
[1, 2, 3, 4, 5, 6]
The shape changed from (2, 3) to (6), but the number of entries stayed the same.
The entry count must match
Reshaping is valid only when the total number of entries is preserved.
(2, 3) has 2 x 3 = 6 entries
(6) has 6 entries
(3, 2) has 3 x 2 = 6 entries
All three shapes can hold the same six numbers.
But (2, 3) cannot be reshaped into (4, 2) without adding or removing entries, because:
2 x 3 = 6
4 x 2 = 8
Why this matters
Flattening is common when a model turns a structured object into a feature vector. For example, a small image, patch, or activation map may be flattened before a dense layer.
Flattening can be useful, but it also removes visible structure. After flattening, nearby pixels, positions, or channels become just entries in a vector unless the model architecture preserves that structure elsewhere.
An array has shape (4, 5). What is its flattened size?
Compute it first, then check your number.
HintCount entries
Multiply the axis sizes.
SolutionWork it out
The array has 4 x 5 = 20 entries, so the flattened vector has size 20.
Can shape (3, 4) be reshaped into (2, 6) without changing the number of entries? Enter 1 for yes or 0 for no.
Compute it first, then check your number.
HintCompare products
Compute 3 x 4 and 2 x 6.
SolutionWork it out
3 x 4 = 12 and 2 x 6 = 12. The entry count is preserved, so the
reshape is possible.
Can shape (3, 4) be reshaped into (5, 3) without changing the number of entries? Enter 1 for yes or 0 for no.
Compute it first, then check your number.
HintCompare products
The entry count must match exactly.
SolutionWork it out
3 x 4 = 12, but 5 x 3 = 15. The reshape is not valid without adding
or removing values.