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Byju's Answer
Standard XII
Mathematics
Adjoint of a Matrix
If δ t+1/2 * ...
Question
If
δ
(
t
+
1
2
)
∗
δ
(
−
t
+
2
)
= A
δ
(
t
−
B
)
, then the value of
A
B
is _____. (* denotes convolutions )
2
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Solution
The correct option is
A
2
δ
(
t
+
1
2
)
=
δ
(
1
2
(
t
+
1
)
)
=
1
1
2
δ
(
t
+
1
)
=
2
δ
(
t
+
1
)
δ
(
−
t
+
2
)
=
δ
(
t
−
2
)
2
δ
(
t
+
1
)
∗
δ
(
t
−
2
)
=
2
δ
(
t
−
1
)
=
A
δ
(
t
−
B
)
So,
A
B
=
2
1
=
2
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