Extract sub matrices

I have a matrix A=magic(4); (say)

I want 4x4 matrices from A such that the 16 matrices can be saved with different names.

a1=(16 2;5 11)

a2=(16 2 3; 5 11 10)

a3=( 2 3 13; 11 10 8)

a4=(3 13; 3 13)

a5=(16 2; 5 11; 9 7)

a6=(16 2 3; 5 11 10; 9 7 6 )

a7=(2 3 13; 11 10 8; 7 6 12)

a8=(3 13; 10 8;6 12)

a9=(5 11; 9 7;4 14)

a10= (5 11 10 ; 9 7 6; 4 14 15)

a11=(11 10 8; 7 6 12; 14 15 1)

a12=(10 8; 6 12; 15 1)

a13=(9 7; 4 14 )

a14=(9 7 6; 4 14 15)

a15=(7 6 12; 14 15 1)

a16=( 6 12; 15 1)

I want to use loop so that I can extract matrices from other large matrices.

Answer 1

[Image Analyst]

That's okay to hard code for a small matrix, like you did (almost), but not advisable for a large matrix. See the FAQ http://matlab.wikia.com/wiki/FAQ#How_can_I_create_variables_A1.2C_A2.2C....2CA10_in_a_loop.3F

Answer 2

[Jan]

I use A1, A2, ... for arrays up to 3 elements only. Otherwise using a cell A{1}, A{2}, ... is much more convenient, efficient and easier to debug. Reading the FAQ is recommended. At least the best-of, because it is asked with such a high frequency, that it gets a waste of time:

1. FAQ 4.6: Create A1, A2, ... in a loop
2. FAQ 6.1: 0.3 - 0.2 - 0.1 ~= 0
3. FAQ 4.16: Avoid eval
4. FAQ 5.16: Share data between callbacks

This should not encourage you not to read the other sections also.