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3 and 4 . determinant and metrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths3 and 4 . determinant and metrices1 Mark
MCQ
If  $A$ is a symmetric matrix, then matrix $M'AM$is
  • ✓
    Symmetric
  • B
    Skew-symmetric
  • C
    Hermitian
  • D
    Skew-Hermitian
✓

Answer

Correct option: A.
Symmetric
a
(a) $(M'AM)' = M'A'M = M'AM$

( $A$  is symmetric. Hence $M'AM$ is a symmetric matrix).

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