Determinant Exercises, Schemes and Mind Maps of Kinematics

A series of exercises for calculating determinants. The exercises cover a variety of matrix sizes and configurations, ranging from 2x2 to 4x4 determinants. The necessary matrices for the user to practice their skills in determinant calculation. By working through these exercises, students can develop a deeper understanding of the properties and applications of determinants in linear algebra and matrix theory. The exercises cover a range of difficulty levels, allowing learners to gradually build their proficiency in this fundamental mathematical concept. Studying this document can help students strengthen their problem-solving abilities, improve their analytical thinking, and prepare them for more advanced topics in linear algebra and related fields.

Typology: Schemes and Mind Maps

2022/2023

Uploaded on 06/15/2024

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BÀI TẬP ĐỊNH THC
Tính các định thc sau:
1.
2 1 3
5 3 2
1 4 3
D
4 3 5
2. 3 2 8
1 7 5
D
3 2 4
3. 4 1 2
5 2 3
D
4.
a b c
D b c a
c a b
5.
a x x x
D x b x x
x x c x
1
1
6. 1
1
2 2 2
a b c
b c a
Dc a b
b c c a a b
1 1 1 1
1 1 1 1
7. 1 1 1 1
1 1 1 1
D
2 5 1 2
3 7 1 4
8. 3 9 2 7
4 6 1 2
D
3 9 3 6
5 8 2 7
10. 4 5 3 2
7 8 4 5
D
1 0 1 1 2
0 1 1 2 1
1 2 1 0 1
11.
1 0 1 0 2
1 1 1 1 1
D
2 3 4 1
4 2 3 2
12.
3 1 4 3
Da b c d
5 2 1
4 4 3
13. 2 3 2
4 5 4
a
b
Dc
d
0 0 5 0 0
0 2 0 2 0
1 3 18 6 2
14.
4 17 9 15 2
19 20 24 3 5
D

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BÀI TẬP ĐỊNH THỨC

Tính các định thức sau:

D

D

D

a b c D b c a c a b

a x x x D x b x x x x c x

a b c b c a D (^) c a b b c c a a b

D

D

D

D

D

D

a b c d

a b D c d

0 0 5 0 0 0 2 0 2 0

14.^1 3 18 6 4 17 9 15 2 19 20 24 3 5

D