Question: Given the matrix R = ( 2 1 1 3 ), i. show that R is non-singular. (1 mark) ii. find R-1 , the inverse

Given the matrix R = ( 2 1 1 3 ),

i. show that R is non-singular. (1 mark)

ii. find R-1 , the inverse of R. (2 marks

iii. show that RR-1 = I. (2 marks)

B. Use the matrix method or otherwise to solve the following system of simultaneous equations

: i. x + 2y + 3z = 5

ii. 3x + y 3z = 4

iii. 3x + 4y + 7z = 7

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