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CBSE Class 12-science Answered

Skew symmetric
Asked by Paulkaran303 | 15 Jan, 2019, 11:03: PM
answered-by-expert Expert Answer

A matrix is said to be skew symmetric if the transpose of the matrix is equal to the negative sign of it. 

AT = -A

For example

begin mathsize 16px style straight A equals open square brackets table row 0 2 row cell negative 2 end cell 0 end table close square brackets straight A to the power of straight T equals open square brackets table row 0 cell negative 2 end cell row 2 0 end table close square brackets straight A to the power of straight T equals negative open square brackets table row 0 2 row cell negative 2 end cell 0 end table close square brackets equals negative straight A end style

Hence, A is skew symmetric matrix.

Answered by Sneha shidid | 16 Jan, 2019, 08:16: AM

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