1.

If both \[A-\frac{1}{2}I\] and \[A+\frac{1}{2}I\] are orthogonal matrices, then

A.  A is orthogonal
B.  A is skew-symmetric of even order
C.  \[{{A}^{2}}=\frac{3}{4}I\]
D.  none of these
Answer» C.  \[{{A}^{2}}=\frac{3}{4}I\]


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