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Byju's Answer
Standard XII
Mathematics
General Tips for Choosing Function
If A =1-1-1 ...
Question
If
A
=
1
-
1
-
1
1
, satisfies the matrix equation A
2
= kA, write the value of k.
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Solution
A
2
=
A
A
⇒
A
2
=
1
-
1
-
1
1
1
-
1
-
1
1
⇒
A
2
=
1
+
1
-
1
-
1
-
1
-
1
1
+
1
⇒
A
2
=
2
-
2
-
2
2
Now
,
A
2
=
k
A
⇒
2
-
2
-
2
2
=
k
1
-
1
-
1
1
⇒
2
-
2
-
2
2
=
k
-
k
-
k
k
∴
k
=
2
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