(a) What is an identity matrix ? If is an matrix, what are the products and ?
(b) If is an matrix, what is its inverse matrix?
(c) Complete the formula for the inverse of a matrix
(d) Find the inverse of the following matrix.
The identity matrix and the products of and .
The identity matrix is the matrix for which each main diagonal entry is a and for which all other entries are .
Identity matrix behave like the number . Then,
Calculate the product of matrix.
Substitute for in the product
The inverse matrix of .
The formula for the inverse of a matrix .
The inverse of matrix .
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