Determine whether the statement, (A + B)^{-1} = A^{-1}+B^{-1}, assuming A, B, and A + B are invertible, is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

boitshupoO 2021-03-02 Answered
Determine whether the statement, (A+B)1=A1+B1, assuming A, B, and A + B are invertible, is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
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Expert Answer

unett
Answered 2021-03-03 Author has 119 answers
Step 1
Given:
(A+B)1=A1+B1
To determine:
If A, B and (A+B) are invertible matrices then to check if the statement is True or False: Solution:The given statement is false as the given statement is not valid for all the invertible matrices:
Therefore, We can prove this using an example:
Step 2
Lets
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Jeffrey Jordon
Answered 2022-01-24 Author has 2070 answers

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