Find the inverse matrix:a) b) c) In the following systems the elimination process shows th...

Find the inverse matrix:

a)

b)

c)

In the following systems the elimination process shows that the determinant of coefficients is 0. Carry out the process and find all solutions:

a) 2x − y + z = 3, x + 2y − z = 1, 5x − 5y + 4z = 8

b) x + y − z = 1, 2x − y − z = 2, x + 4y − 2z = 2

c) x − y + z + w = 0, x + 2y − z − w = 0,

3x − y − z + 2w = 0, x + 3y + z − 2w = 0

d) x + y − 2z + 3w = 0, 2x − y + z − w = 0,

3x − z + 2w = 0, 5x + 2y − 5z + 8w = 0