Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Using the properties of determinants, evalulate:
(i)
(ii) 
(iii)
+
.
(iv) 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) 0 (ii) 0 (iii) 0 (iv) 
Sol. (i) 
Applying C 2 → 2C 2 + C 3

In this two rows are similar so |A| = 0
(ii) 
It is skew-symmetric determinant of odd order so |A| = 0
(iii)
+ 
Applying operation in first determinant
C 1
C 2
+ 
Applying operation in first determinant
C 2
C 3
=
+ 
Applying operation in first determinant
R 1
R 3
–
+
= 0
(iv)
= 
= 
C 1 → C 1 − C 2
=
= 
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