Find the 7x7 Identity Matrix 7

Problem

(I_7)

Solution

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

2. Determine the dimensions of the matrix, which is specified as 7×7 meaning it contains 7 rows and 7 columns.

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

Final Answer

(I_7)=[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]]

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