A diagonal matrix is called an identity matrix, if all diagonal entries are one, means numeric number 1.if we multiply any matrix on left side or right side the resulting value is same. Multiplicative identity matrix image is:
Called 3 by 3 identity matrix. And
Called 2 by 2 identity matrix. And
Called 1 by 1 identity matrix.
EXAMPLE:
Identity matrix multiply diagonal:
Let A be a matrix. Another matrix B is called identity matrix of A under multiplication if
Matrix
Matrix
If we multiply identity matrix. B on right side.
The resulting value is the same.
AB=A
If we multiply identity matrix. B on left side
The resulting value is the same.
AB=A
multiplying by this, we get the result
AB=A=BA
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