Find the 5x5 Identity Matrix 5

Problem

(I_5)

Solution

1. Identify the definition of an identity matrix, which is a square matrix with ones on the main diagonal and zeros elsewhere.

2. Determine the dimensions of the matrix, which is specified as 5×5

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

Final Answer

(I_5)=[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]

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