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JEE Advanced Model Paper 14 with solutions for online practice
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© examsnet.com
Question : 59
Total: 60
Let Abe a 3 x 3 matrix with real entries . If
A
A
T
= I , then the value of det (
A
2
-
I
3
) = ...
Your Answer:
Validate
Solution:
det (
A
2
-
I
3
) = det (
A
2
-
A
A
T
) = det (A (A -
A
T
))
= det (A -
A
T
) det (A)
Further det (A) = ± 1, and matrix
A
−
A
T
is a skew symmetric matrix with odd order hence its determinant is 0.
© examsnet.com
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