Question:
If the matrix \(A\) is both symmetric and skew symmetric,then
If the matrix \(A\) is both symmetric and skew symmetric,then
Updated On: Sep 21, 2023
\(A\) is a diagonal matrix
\(A\) is a zero matrix
\(A\) is a square matrix
None of these
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The Correct Option is B
Solution and Explanation
The correct answer is B:\(A\) is a zero matrix
\(A'=A\,\, and\,\, A'=-A\)
\(\implies A=-A\)
\(\implies A+A=0\)
\(\implies 2A=0\)
\(\implies A=0\)
Therefore, \(A\) is a zero matrix.
\(A'=A\,\, and\,\, A'=-A\)
\(\implies A=-A\)
\(\implies A+A=0\)
\(\implies 2A=0\)
\(\implies A=0\)
Therefore, \(A\) is a zero matrix.
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