Find the inverse of the matrix ( if exists ) and state the reason if it doesn't exists.
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Step-by-step explanation:
Given:
To find: Inverse of matrix (if exists)
Solution:Inverse of a matrix exists if given matrix is non-singular.
Step 1: Find the determinant of given matrix
|A|=2(12-2)-3(16-1)+4(8-3)
|A|=2×10-3×15+4×5
|A|=20-45+20
|A|=-5
|A|≠0
Thus,
Inverse of matrix exist.
Step 2: Write matrix of Minors and co-factor matrix
Step 3:Write adjoint matrix by writing transpose of C.
Step 4: Write inverse of A
Final answer:
Inverse of matrix is
Hope it helps you.
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