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Standard XII
Mathematics
Definition of Functions
IF ALL ELEMEN...
Question
IF ALL ELEMENTS OF A THIRD ORDER DETERMINANT ARE EQUAL TO 1 OR -1, THEN THE DETERMINANT ITSELF IS
(a) an ODD NUMBER
(b) an EVEN NUMBER
(c)an IMAGINARY NUMBER
(d) a REAL NUMBER
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Solution
Let
A
=
1
1
-
1
1
-
1
1
1
1
-
1
=
1
1
-
1
-
1
-
1
-
1
-
1
1
+
1
=
2
-
2
=
0
So
it
is
always
a
real
number
.
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