KEAM SERIES
Mathematics

Properties Of Determinants

8 previous year questions.

Volume: 8 Ques
Yield: Medium

High-Yield Trend

1
2026
4
2025
2
2024
1
2023

Chapter Questions
8 MCQs

01
PYQ 2023
medium
mathematics ID: keam-202

Let A be an invertible matrix of size 4x4 with complex entries. If the determinant of adj(A) is 5,then the number of possible value of determinant of A is

1

2

3

4

5

02
PYQ 2024
medium
mathematics ID: keam-202
If then is equal to:
1

2

3

4

5

03
PYQ 2024
medium
mathematics ID: keam-202
Let be a matrix with . If , then the value of is equal to
1

2

3

4

5

04
PYQ 2025
medium
mathematics ID: keam-202
Let . If , then the value of is equal to
1
5
2
4
3
6
4
7
5
2
05
PYQ 2025
medium
mathematics ID: keam-202
The numbers and are in G.P. If and the common ratio , then the value of is equal to
1
1
2
2
3

4
4
5
0
06
PYQ 2025
medium
mathematics ID: keam-202
If the matrix is singular, then the value of is equal to
1
-2
2
2
3
1
4
-1
5
0
07
PYQ 2025
medium
mathematics ID: keam-202
Let be a matrix and let . If , then the value of is equal to
1

2

3

4

5
08
PYQ 2026
medium
mathematics ID: keam-202
Evaluate the determinant :
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3

4

5