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Reverse[expr]

reverses the order of the elements in expr.

Reverse[expr,n]

reverses elements at level n in expr.

Reverse[expr,{n1,n2,…}]

reverses elements at levels n1, n2, … in expr.

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Reverse

Reverse[expr]

reverses the order of the elements in expr.

Reverse[expr,n]

reverses elements at level n in expr.

Reverse[expr,{n1,n2,…}]

reverses elements at levels n1, n2, … in expr.

Details

  • Reverse works on SparseArray objects, reversing the elements in the corresponding ordinary array.
  • Reverse[expr] is equivalent to Reverse[expr,1].
  • For a matrix m, Reverse[m] reverses the order of the rows, and Reverse[m,2] reverses the order of the columns. »

Examples

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Basic Examples  (2)

Reverse the elements of a list:

Wolfram Language code: Reverse[{a, b, c, d}]

Reverse an Association:

Wolfram Language code: Reverse[<|a -> 1, b -> 2, c -> 2|>]

Scope  (3)

Reverse works with heads other than List:

Wolfram Language code: Reverse[f[a, b, c]]

Reverse the order of sublists, keeping each sublist unchanged:

Wolfram Language code: Reverse[{{a, b, c}, {d, e, f}}, 1]

Reverse the of sublist contents, keeping the order of sublists unchanged:

Wolfram Language code: Reverse[{{a, b, c}, {d, e, f}}, 2]

Reverse both the order of sublists and their contents:

Wolfram Language code: Reverse[{{a, b, c}, {d, e, f}}, {1, 2}]

Reverse an Association on the first and second levels:

Wolfram Language code: Reverse[<|a :> {1, 2}, b -> {3, 4}, c -> {5, 6}|>, {1, 2}]

Applications  (2)

Reverse operands:

Wolfram Language code: Reverse[a.b.c.d.e]

Turn an array plot upside down:

Wolfram Language code: ArrayPlot[Reverse[CellularAutomaton[30, {{1}, 0}, 20]]]

Properties & Relations  (4)

Reverse is its own inverse:

Wolfram Language code: Reverse[Reverse[{a, b, c, d}]]

For a matrix m, Reverse[m] reverses the rows:

Wolfram Language code: m = (⁠| | | | | - | - | - | | 1 | 2 | 3 | | 4 | 5 | 6 | | 7 | 8 | 9 |⁠);
Wolfram Language code: Reverse[m]//MatrixForm

Reverse[m,2] reverses the columns:

Wolfram Language code: Reverse[m, 2]//MatrixForm

Reverse[m,{1,2}] reverses both rows and columns:

Wolfram Language code: Reverse[m, {1, 2}]//MatrixForm

Reverse[expr,n] is equivalent to Map[Reverse,expr,{n-1}]:

Wolfram Language code: Reverse[Array[a, {5, 5, 5}], 3] == Map[Reverse, Array[a, {5, 5, 5}], {2}]

This is true even for n==1:

Wolfram Language code: Reverse[Array[a, {5, 5, 5}], 1] == Map[Reverse, Array[a, {5, 5, 5}], {0}]

Since the default level for Map is {1}, the third argument is unnecessary for n==2:

Wolfram Language code: Reverse[{{a, b, c}, {d, e, f}}, 2] == Map[Reverse, {{a, b, c}, {d, e, f}}]

Reverse[expr,Range[n]] is equivalent to Map[Reverse,expr,{0,n-2}]:

Wolfram Language code: Reverse[Array[a, {5, 5, 5}], Range[3]] == Map[Reverse, Array[a, {5, 5, 5}], {0, 2}]
Wolfram Research (1988), Reverse, Wolfram Language function, https://reference.wolfram.com/language/ref/Reverse.html (updated 2007).

Text

Wolfram Research (1988), Reverse, Wolfram Language function, https://reference.wolfram.com/language/ref/Reverse.html (updated 2007).

CMS

Wolfram Language. 1988. "Reverse." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2007. https://reference.wolfram.com/language/ref/Reverse.html.

APA

Wolfram Language. (1988). Reverse. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Reverse.html

BibTeX

@misc{reference.wolfram_2026_reverse, author="Wolfram Research", title="{Reverse}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/Reverse.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_reverse, organization={Wolfram Research}, title={Reverse}, year={2007}, url={https://reference.wolfram.com/language/ref/Reverse.html}, note=[Accessed: 12-June-2026]}