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ArrayFlatten

ArrayFlatten[{{m₁₁, m₁₂, ...}, {m₂₁, m₂₂, ...}, ...}]
creates a single flattened matrix from a matrix of matrices

.

ArrayFlatten[a, r]
flattens out

pairs of levels in the array

.

MORE INFORMATION

ArrayFlatten requires that the blocks it flattens have dimensions that fit together.

ArrayFlatten can be used to form block matrices from arrays of blocks.

For a matrix of matrices, ArrayFlatten[a] yields a matrix whose elements are in the same order as in MatrixForm[a].

ArrayFlatten[a] is normally equivalent to Flatten[a, {{1, 3}, {2, 4}}]. »

ArrayFlatten[a, r] is normally equivalent to Flatten[a, {{1, r+1}, {2, r+2}, ..., {r, 2r}}].

For a tensor with rank , ArrayFlatten[a, r] gives a tensor with rank .

In ArrayFlatten[{{m₁₁, m₁₂, ...}, {m₂₁, m₂₂, ...}, ...}] all the matrices in the same row must have the same first dimension, and matrices in the same column must have the same second dimension.

In general, in ArrayFlatten[a, r], all the dimensions of must be equal for each possible value of .

Elements at level whose array depth is less than are treated as scalars, and are replicated to fill out a rank array of the appropriate dimensions.

ArrayFlatten works with SparseArray objects. »

Basic Examples (2)

Create a block matrix by flattening out a matrix of matrices:

Use 0s to represent zero matrices:

Applications (4)

Properties & Relations (3)

Flatten Join Band ArrayQ ArrayDepth PadLeft

Rearranging Nested Lists

Combining Lists

Structural Operations

Vectors and Matrices

Tensors

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