Use Cramer's rule to solve the following system of equations:

Let be the matrix of coefficients. Which of the following is/are true?

(i) 

(ii) 

(iii) 

(iv) 

Let

Which of the following is/are true?

i. 

ii. 

iii. 

iv. 

v. 

vi. 

Use cofactors and determinants to find the inverse of the following matrix:

a)

b)

c)

d) does not exist

Consider the matrix given in Question 5 above. Use cofactors and determinants to find the inverse of this matrix if it exists.

a)

b)

c)

Let

The determinant of is

Let

Find the inverse of if it exists.

a)

b)

c)

Use matrices to find the value(s) of for which the following system has no solution:

Use cofactors and determinants to find the inverse of the following matrix:

a)

b)

c)

d) does not exist

Let

 Use cofactors and determinants to find the inverse of this matrix if it exists.

a)

b)

c)