Define Block Matrices.

Matrices
Define Block Matrices.

2020-10-26
Step 1
Block matrices:
The matrix which can be broken by horizontal and vertical lines within it , divides that matrix into an array of sub matrices and said to be blocks.
Step 2
The obtainning resukt of array is called the partition of that matrix.
The process of forming these kinds of blocks are said to be partitioning.
For an example consider a matrix,
$$A=\begin{bmatrix}1 & 2&4&3 \\5 & 8 & 7&6 \\ 5 & 4 &2&9\\1&5&3&1 \end{bmatrix}$$
The above matrix can be represented as block matrix as follows.
$$A=\left[\begin{array}{cc|cc}1 & 2&4&3 \\5 & 8 & 7&6\\ \hline 5 & 4 &2&9\\1&5&3&1 \end{array} \right]$$