DocumentationMathematicaBuilt-in FunctionsLists and MatricesList Testing
ArrayDepth
ArrayDepth[expr] gives the depth to which expr is a full array, with all the parts at a particular level being lists of the same length, or is a SparseArray object.
ArrayDepth[list] is equivalent to Length[Dimensions[list]]. Examples: ArrayDepth[a,b] ; ArrayDepth[a,b] . See Section 2.4.3 and Section 3.7.11. See also: Dimensions, Depth, ArrayQ, VectorQ, MatrixQ, PadLeft. New in Version 5.0.
Further Examples
ArrayDepth[expr] gives the depth to which expr is a full array, with all the parts at a particular level being lists of the same length, or is a SparseArray object. 
a,b
] 
; ArrayDepth[
a,
b
] 
. 
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