Identity Matrix

The Identity Matrix (I)

If A is an m x n matrix, AI_n = A and I_mA = A. Thus, the identity matrix plays much the same role in matrix arithmetic as the number 1 in numerical relatioships a(1) = a and 1(a) = a.

Consider a matrix

A.5f

The Identity Matrix (I)

If A is an m x n matrix, AIn = A and ImA = A. Thus, the identity matrix plays much the same role in matrix arithmetic as the number 1 in numerical relatioships a(1) = a and 1(a) = a.

Consider a matrix

If A is an m x n matrix, AI_n = A and I_mA = A. Thus, the identity matrix plays much the same role in matrix arithmetic as the number 1 in numerical relatioships a(1) = a and 1(a) = a.