Consider𝐴 =[2 0 00 2 00 0 20 00 00 02220 0 00 0 01 00 1001 1 1 0 0 1]Find 𝐴2 by using partitioned matrices approach
Question
Solution 1
The given matrix A is a block matrix, which can be partitioned as follows:
A = [A1 0] [0 A2]
where A1 is a 3x3 matrix, A2 is a 3x3 matrix and 0 represents a matrix of zeros. Specifically,
A1 = [2 0 0] [0 2 0] [0 0 2]
and
A2 = [1 0 0] [0 1 0] [1 1 1]
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