Find the 6x6 Identity Matrix 6

Problem

(I_6)

Solution

1. Identify the definition of an identity matrix. An identity matrix (I_n) is a square n×n matrix where all elements on the main diagonal are 1 and all other elements are 0

2. Determine the dimensions. For a 6×6 identity matrix, there are 6 rows and 6 columns.

3. Construct the matrix by placing 1 at each position (a_i,j) where i=j and 0 where i≠j

Final Answer

(I_6)=([1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1])

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