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CBSE XII
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Matrices
If A is a skew symmetric matrix, then $A^2$ is a ____________ .
cbse
class12
ch3
q75
p62
fitb
exemplar
sec-a
easy
math
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asked
Dec 24, 2012
by
sreemathi.v
retagged
Jul 17, 2013
by
sharmaaparna1
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1 Answer
Toolbox:
A square matrix A=[a$_{ij}$] is said to be skew symmetric if A'=-A that is $[a_{ij}]= -[a_{ji}]$ for all possible value of i and j.
If A is a skew symmetric matrix then $A^2$ symmetric matrix.
A'= (-A)
Replace -A by $A^2$
A'=($A^2$)=A
answered
Mar 15, 2013
by
sharmaaparna1
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