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The inverse of a symmetric matrix ( if i...

The inverse of a symmetric matrix ( if it exists ) is

A

a symmetric matrix

B

a skew -symmetric matrix

C

a diagonal matrix

D

none of these

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The inverse of a skew symmetric matrix is

    A
    a symmetric matrix if it exists
    B
    a skew symmetric matrix if it exists
    C
    transpose of the original matrix
    D
    may not exist

  • The inverse of a symmetric matrix is a matrix which is

    A
    diagonal
    B
    symmetric
    C
    skew symmetric
    D
    None of these

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