Latest GRE Aptitude Question SOLUTION: Suppose A and B are n*n invertible matrices, where n >1, and I is the n*n identity matrix. If A and B are similar matrices, which of the following statements must be true? I. A -

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(#M40151778) GRE Numerical Ability question Matrices Keep an EYE

Suppose A and B are n*n invertible matrices, where n >1, and I is the n*n identity matrix. If A and B are similar matrices, which of the following statements must be true?
I. A - 2I and B – 2I are similar matrices.
II. A and B have the same trace.
III. A^-1 and B^-1 are similar matrices.
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III

Asked In GRE Aashu (9 years ago)

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