Let A be a 3×3 matrix such that A² = A. Then it is necessary that
GATE · 2020 · XE · XE-A — Engineering Mathematics
Let A be a 3×3 matrix such that A² = A. Then it is necessary that
- A.
A is the identity matrix or the zero matrix.
- B.
the determinant of A⁴ is either 0 or 1.
- C.
the rank of A is 3.
- D.
A has one imaginary eigenvalue.
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