If A skew-symmetric matrix and n is an odd positive integer, then An is:
Answer & explanation
Correct answer: option 2
A skew-symmetric matrix A, AT=−A.
$(A^n)^T=(−1)^nA^n$, since n is an odd integer then An is also a skew-symmetric matrix.
If A skew-symmetric matrix and n is an odd positive integer, then An is:
Correct answer: option 2
A skew-symmetric matrix A, AT=−A.
$(A^n)^T=(−1)^nA^n$, since n is an odd integer then An is also a skew-symmetric matrix.