0 votes 0 votes A real $2 \times 2$ matrix $M$ such that $$M^2 = \begin{pmatrix} -1 & 0 \\ 0 & -1- \varepsilon \end{pmatrix}$$ exists for all $\varepsilon > 0$ does not exist for any $\varepsilon > 0$ exists for some $\varepsilon > 0$ none of the above is true Linear Algebra isi2015-mma linear-algebra matrix + – Arjun asked Sep 23, 2019 • recategorized Nov 16, 2019 by Lakshman Bhaiya Arjun 587 views answer comment Share Follow See 1 comment See all 1 1 comment reply NastyBall commented Jun 17, 2021 reply Follow Share Option B is the correct answer. 0 votes 0 votes Please log in or register to add a comment.