this question involves calculating the determinant and inverting a particular 44 matrix over R, and exploring consequences when the elements are then regarded as coming from Zn for various n.Please help me

ipad ' @ 17:25 am 4%1\\ maths . usyd . edu . au 3 Of 3 2 . Consider the following 4 x 4 matrix :" 1 I 07 M = 1 1 0 1 O 1 1 O 1 ( a ) Find det M , the determinant of M , working over R ( b) Use part ( a ) to deduce the value of det M , working over each of I z , Is and Zx7 . ( c ) Find M- 1 , the matrix inverse of M , working over R . ( d ) Use part ( c ) to deduce M- 1 , working over each of 7.2 and 17 . Explain briefly* how you know M- 1 does not exist when working over 43 . ( e ) Solve the following system of equations , working over each of R , 12 , 13 and : 47 2 1 + 2 2 + 2 3 + + 2 1 2 2 2 4 x1 + I ~}3 + 2 4 2 2 + 2'3 + OCA O