Can you please help me with this linear algebra problem? Thank you!!

All steps (working) to arrive at. your answers must be clearly shown. 3. Systems of Linear Equations For the following system of equations, 391 + 2172 I3 : 5 1:2 + 3:123 : 2 2:51 + 11:2 113:3 : 16 :r:1 6mg 113:3 = 3 i. Represent the system as an augmented matrix, and then solve the system using the following Steps: Step 1 - Use multiples of Row 1 to eliminate the 3:3 entries in rows 2, 3 and 4. Step 2 Use How 2 to eliminate the 332 entry in rows 3 and 4. Step 3 - Set 271 as the free variable and then express each of 3:2, 3:3 in terms of 331. ii. Set 331 to any integer in [2, 5] and then to any integer in [55 2] and verify that this results in a valid solution to the system using matrix multiplication. iii. Justify the existence of unique/ innite solutions using the concept of matrix rank. 5 marks