Question

Which of the following is (are) NOT the square of a `3 xx 3` matrix with real entries?
A. `|{:(1, 0, 0),(0, 1,0),(0, 0, -1):}|`
B. `|{:(1, 0, 0),(0, -1,0),(0, 0, -1):}|`
C. `|{:(-1, 0, 0),(0, -1,0),(0, 0, -1):}|`
D. `|{:(1, 0, 0),(0, -1,0),(0, 0, -1):}|`

Answer 1

For a matrix to be square of other matrix its determinant should be positive.
(a) and (c)`to` Correct
(b) and (d) `to` Incorrect