Chapters
Exercise 1
Prove, without developing, that the following determinants are zero:
Exercise 2
Knowing that |A|=5, calculate the value of the other determinants.
Exercise 3
Prove that the following determinants are a multiple of 5 and 4 respectively, without developing them.
Exercise 4
Prove, without developing, that the following determinant is a multiple of 15:
Exercise 5
Prove, without developing.
Exercise 6
Solve the following equations without developing the determinants.
Exercise 7
Prove that the following determinant is divisible by 21:
,
Solution of exercise 1
Prove, without developing, that the following determinants are zero:
It has two proportional lines. The third column equals the sum of the first two.
Solution of exercise 2
Knowing that |A|=5, calculate the value of the other determinants.
Solution of exercise 3
Prove that the following determinants are a multiple of 5 and 4 respectively, without developing them.
Solution of exercise 4
Prove, without developing, that the following determinant is a multiple of 15:
Solution of exercise 5
Prove, without developing.
Solution of exercise 6
Solve the following equations without developing the determinants.
Solution of exercise 7
Prove that the following determinant is divisible by 21: