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Byju's Answer
Standard XII
Mathematics
Inverse of a Matrix
18. Let A be ...
Question
18. Let A be the 44 matrix with real entries such that determinant of every 22 submatrix is 0 then (a)adj (A)=0 (b)det (A)=0 (c) A=0 (d)AX=0 has infinite number of solutions
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Q.
Let
P
(
x
)
=
a
0
+
a
1
x
2
+
a
2
s
4
+
.
.
.
.
.
.
.
.
+
a
n
x
2
n
be a polynomial in a real variable x with
0
<
a
0
<
a
1
<
a
2
<
.
.
.
.
<
a
n
′
The function P(x) has
Q.
Let
P
(
x
)
=
a
0
+
a
1
x
2
+
a
2
x
4
+
.
.
.
+
a
n
x
2
n
be a polynomial in a real variable x with
0
<
a
0
<
a
1
<
a
2
<
.
.
.
<
a
n
.
The function P(x) has
Q.
Let
f
(
x
)
=
a
0
+
a
1
x
2
+
a
2
x
4
+
.
.
.
.
+
a
n
x
2
n
when
0
<
a
0
<
a
1
<
.
.
.
.
.
.
.
<
a
n
then f(x) has
Q.
Let
P
(
x
)
=
a
0
+
a
1
x
2
+
a
2
x
4
+
.
.
.
+
a
n
x
2
n
be a polynomial in a real variable x with
0
<
a
1
<
a
2
.
.
.
<
a
n
then P(x) has
Q.
Let
P
(
x
)
=
a
0
+
a
1
x
2
+
a
2
x
4
+
.
.
.
.
.
.
+
a
n
x
2
n
be a polynomial in a variable x with
0
<
a
0
<
a
1
<
a
2
<
a
3
.
.
.
.
.
.
.
<
a
n
. The function P(x) has
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