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Byju's Answer
Standard XII
Mathematics
Multiplication of Matrices
Find the valu...
Question
Find the value of x for which the matrix product
2
0
7
0
1
0
1
-
2
1
-
x
14
x
7
x
0
1
0
x
-
4
x
-
2
x
equal an identity matrix.
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Solution
Here
,
2
0
7
0
1
0
1
-
2
1
-
x
14
x
7
x
0
1
0
x
-
4
x
-
2
x
=
1
0
0
0
1
0
0
0
1
⇒
-
2
x
+
0
+
7
x
28
x
+
0
-
28
x
14
x
+
0
-
14
x
0
+
0
+
0
0
+
1
-
0
0
+
0
-
0
-
x
-
0
+
x
14
x
-
2
-
4
x
7
x
-
0
-
2
x
=
1
0
0
0
1
0
0
0
1
⇒
5
x
0
0
0
1
0
0
10
x
-
2
5
x
=
1
0
0
0
1
0
0
0
1
The
corresponding
elements
of
two
equal
matrices
are
equal
.
∴
5
x
=
1
⇒
x
=
1
5
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0
Similar questions
Q.
Find the value of x for which the product of the follwing matrices equals an identity matrix.
⎛
⎜
⎝
2
0
7
0
1
0
1
−
2
1
⎤
⎥
⎦
×
⎛
⎜
⎝
−
x
14
x
7
x
0
1
0
x
−
4
x
−
2
x
⎤
⎥
⎦