Vertical Concatenation

By Kardi Teknomo, PhD.

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Matrix vertical concatenation is an operation to join two sub matrices vertically into one matrix.

Example

Vertical concatenation of the two matrices is adjoining matrix to matrixto produce augmented matrix

When we concatenate vertically, the number of columns of the two input matrices must be the equal.

The interactive program below produces vertical concatenation of the two input matrices. Your input matrices must have the same number of columns. Random Example will generate random matrices at the proper size. Experiment with your own input matrices to gain more understanding about matrix augmentation.

See also: matrix horizontal concatenation

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Preferable reference for this tutorial is

Teknomo, Kardi (2011) Linear Algebra tutorial. http:\\people.revoledu.com\kardi\ tutorial\LinearAlgebra\