HW03: Problem 22 Results for this submission Entered ADE The answer above is NOT correct. (1 point) Select all statements below which are true for all invertible $n \times n$ matrices $A$ and $B$ A. $ABA^{-1} = B$ B. $(A + A^{-1})^{-1} = A^{-1} + A$ C. $(ABA^{-1})^{-1} = ABA^{-1}$ D. $(A^4 + B)(A - B) = A^2 - B^2$ E. $A^4$ is invertible F. $A + B$ is invertible Your score was recorded. You have attempted this problem 31 times. You received a score of 0% for this attempt.
Added by Michele B.
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The first statement "ABA = B" does not necessarily imply that A is invertible. For example, if B is the zero matrix, then any matrix A would satisfy this equation, regardless of whether it is invertible or not. Show more…
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