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farkhsLv1
11 Mar 2023
Q4. Let A (C).
(a) Prove that if and n is odd, then A must have at least one non-real entry.
(b) Show that there is a real 2 x 2 matrix A such that . [Hint: Think about Q3.]
(c) Bonus: Show that if n is even then there exists an A (R) such that .
Q4. Let A (C).
(a) Prove that if and n is odd, then A must have at least one non-real entry.
(b) Show that there is a real 2 x 2 matrix A such that . [Hint: Think about Q3.]
(c) Bonus: Show that if n is even then there exists an A (R) such that .
shuhbam2607Lv8
15 Mar 2023
astrodabberLv10
13 Mar 2023
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heyshivanshuLv6
12 Mar 2023
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