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UPSC NDA Math Model Paper 1
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© examsnet.com
Question : 20
Total: 120
Find the determinant of the matrix
|
x
y
z
a
b
c
x
+
a
y
+
b
z
+
c
|
a
b
c
x
y
z
0
a
x
+
b
y
+
c
z
Validate
Solution:
|
x
y
z
a
b
c
x
+
a
y
+
b
z
+
c
|
Apply
R
1
→
R
1
+
R
2
|
x
+
a
y
+
b
z
+
c
a
b
c
x
+
a
y
+
b
z
+
c
|
As we can see that the first and the third row of the given matrix are equal.
We know that, if any two rows (columns) of a matrix are same then the value of the determinant is zero.
|
x
y
z
a
b
c
x
+
a
y
+
b
z
+
c
|
=
0
© examsnet.com
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