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If A is skew-symmetric matrix, then A2 is a symmetric matrix. - Mathematics

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प्रश्न

If A is skew-symmetric matrix, then A2 is a symmetric matrix.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Explanation:

(A2)' = (A')2

= [– A]2   ....[∵ A' = – A]

= A2

So, A2 is a symmetric matrix.

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अध्याय 3: Matrices - Exercise [पृष्ठ ६४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 3 Matrices
Exercise | Q 100 | पृष्ठ ६४

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