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Byju's Answer
Standard XII
Mathematics
Multiplication of Matrices
If a+43 b 8-6...
Question
If
a
+
4
3
b
8
-
6
=
2
a
+
2
b
+
2
8
a
-
8
b
, write the value of a − 2b.
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Solution
a
+
4
3
b
8
-
6
=
2
a
+
2
b
+
2
8
a
-
8
b
Corresponding
elements
of
equal
matrices
are
equal
.
∴
a
+
4
=
2
a
+
2
and
3
b
=
b
+
2
⇒
4
-
2
=
2
a
-
a
and
3
b
-
b
=
2
⇒
a
=
2
and
2
b
=
2
⇒
a
=
2
and
b
=
1
∴
a
-
2
b
=
2
-
2
=
0
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0
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(a) a = 2b
(b) b = 2a
(c) a + 2b = 0
(d) 2a + b = 0