Let M and N be 3 x 3 matrices with det(M) = 64 and det (N) = 81. Calculate det Also show whether NT MN is symmetric or skew-symmetric, according as M is symmetric or skew-symmetric.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let M and N be 3 x 3 matrices with det(M) = 64 and
det(N) = 81. Calculate
det
Also show whether NTMN is symmetric or skew-symmetric, acording
as M is symmetric or skew-symmetric.
Transcribed Image Text:Let M and N be 3 x 3 matrices with det(M) = 64 and det(N) = 81. Calculate det Also show whether NTMN is symmetric or skew-symmetric, acording as M is symmetric or skew-symmetric.
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