significance of adjoint while finding inverse
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Step-by-step explanation:
The adjoint of a matrix (also called the adjugate of a matrix) is defined as the transpose of the cofactor matrix of that particular matrix. For a matrix A, the adjoint is denoted as adj (A). On the other hand, the inverse of a matrix A is that matrix which when multiplied by the matrix A give an identity matrix.
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Example 1 :- How to find adjoint of a matrix?
Question:- If A^T = - A then the elements of the diagonal of the matrix are equal to
(a) 1. (b)-1. (c) 0 (d) none of these
Answer- (c) 0
Step-by-step explanation:
A^T=- A; A is a skew symmetric matrix; diagonal elements of A are zero's.
So option (c) will be the answer.
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