Determinants Worksheet

Solutions

1Prove, without developing, that the following determinants are zero:

Determinant Exercises        Determinant Exercises      

2Knowing that |A|=5, calculate the value of the other determinants.

Determinant Exercises

Determinant Exercises               Determinant Exercises

3Prove that the following determinants are a multiple of 5 and 4 respectively, without developing them.

Determinant Exercises       Determinant Exercises

4Prove, without developing, that the following determinant is a multiple of 15:

Determinant Exercises

5Prove, without developing.

Determinant Exercises

Determinant Exercises

6 Solve the following equations without developing the determinants.

Determinant Exercises

Determinant Exercises

7If the value of the determinant Determinant Exercises, calculate the value of:

Determinant Exercises

8Prove that the following determinant is divisible by 21:

Determinant Exercises


1

Prove, without developing, that the following determinants are zero:

Determinant Exercises        Determinant Exercises      


Determinant Operations

It has two proportional lines.

Determinant Solution

The third column equals the sum of the first two.


2

Knowing that |A|=5, calculate the value of the other determinants.

Determinant Exercise

Determinant Operations               Determinant Operations


Determinant Operations

Determinant Solution

3

Prove that the following determinants are a multiple of 5 and 4 respectively, without developing them.

Determinant Exercise       Determinant Exercise

Determinant Operations

Determinant Solution

4

Prove, without developing, that the following determinant is a multiple of 15:

Determinant Exercise


Determinant Solution


5

Prove, without developing.

Determinant Exercise

Determinant Operations

Determinant Operations

Determinant Solution


6

Solve the following equations without developing the determinants.

Determinant Exercise

Determinant Operations

Determinant Operations

Determinant Solution


7

If the value of the determinant Determinant Exercise, calculate the value of:

Determinant Operations

 

Determinant Solution

8

Prove that the following determinant is divisible by 21:

Determinant Solution