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Q.

Assertion (A) : If  A=x    3    103    y    910    9    z̧is askew symmetric matrix then Tr(A)=0
Reason (R) : If A is a skew symmetric then all the elements in a principal diagonal are equal to zero.

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a

Both A and R are true and R is the correct explanation of A

b

 Both A and R are true but R is not correct explanation of A

c

 A is true, R is false

d

A is false, R is true

answer is A.

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Detailed Solution

A=x        3     -103      y     910      9        z is skew symmetric matrix
then x=y=z=0
tr(A)=x+y+z=0

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