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CBSE Class 12-science Answered

If 3 2x-7 4 5x-7 1 2x-5 4 x-1 -1 is a skew- symmetric matrix then x is equal to:

Asked by varunchauhan097 | 25 Apr, 2021, 08:09: PM
Expert Answer
A matrix A is skew symmetric if AT = -A
As the given matrix is skew symmetric, so its transpose will be equal to negative of the original matrix.

Let space straight A equals open square brackets table row 3 cell 2 straight x minus 7 end cell 4 row cell 5 straight x minus 7 end cell 1 cell 2 straight x minus 5 end cell row 4 cell straight x minus 1 end cell cell negative 1 end cell end table close square brackets
rightwards double arrow straight A to the power of straight T equals negative straight A
rightwards double arrow open square brackets table row 3 cell 5 straight x minus 7 end cell 4 row cell 2 straight x minus 7 end cell 1 cell straight x minus 1 end cell row 4 cell 2 straight x minus 5 end cell cell negative 1 end cell end table close square brackets equals open square brackets table row cell negative 3 end cell cell negative 2 straight x plus 7 end cell cell negative 4 end cell row cell negative 5 straight x plus 7 end cell cell negative 1 end cell cell negative 2 straight x plus 5 end cell row cell negative 4 end cell cell negative straight x plus 1 end cell 1 end table close square brackets
rightwards double arrow 5 straight x minus 7 equals negative 2 straight x plus 7
rightwards double arrow 7 straight x equals 14
rightwards double arrow straight x equals 2
Answered by Renu Varma | 27 Apr, 2021, 11:25: AM
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