Write the properties of inverse of matrices
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(A-1)-1 =A
(AB)-1 =A-1B-1
(ABC)-1 =C-1B-1A-1
(A1 A2….An)-1 =An-1An-1-1……A2-1A1-1
(AT)-1 =(A-1)T
(kA)-1 = (1/k)A-1
AB = In, where A and B are inverse of each other.
If A is a square matrix where n>0, then (A-1)n =A-n
Where A-n = (An)-1
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Answer:
Matrix Inverse Properties
The list of properties of matrices inverse is given below. Go through it and simplify the complex problems.
If A and B are the non-singular matrices, then the inverse matrix should have the following properties
(A-1)-1 =A
(AB)-1 =A-1B-1
(ABC)-1 =C-1B-1A-1
(A1 A2….An)-1 =An-1An-1-1……A2-1A1-1
(AT)-1 =(A-1)T
(kA)-1 = (1/k)A-1
AB = In, where A and B are inverse of each other.
If A is a square matrix where n>0, then (A-1)n =A-n
Where A-n = (An)-1
Step-by-step explanation:
I hope this will help you
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