Given the corresponding augmented matrix of a system, determine whether the system is consistent.[−411ln3−232(−1+πcos5π2)1][−41−22(−1+𝜋cos⁡5𝜋2)1ln⁡331]Answer files

Convert the augmented matrix ⎡⎣⎢⎢⎢−3−5−5−5−35−2−40⎤⎦⎥⎥⎥ [ −3 −5 −2 −5 −3 −4 −5 5 0 ] to the equivalent linear system. Use x1 and x2 to enter the variables x1 x 1 and x2 x 2 .

Given thatA = 3 4 −2 −5 12 16 −8 −206 8 −4 −10 and b = b1 b2b3find the row echelon form of the augmented matrix [A | b]. b1 b1 + b2 b1 + b3Therefore, the system Ax = b is consistent when b satisfies the following restrictions. (Enter your answers as equations in terms of b1 and b2, and in terms of b1 and b3.)equation in terms of b1 and b2      equation in terms of b1 and b3

1. Systems of linear equations(a) Consider the following system of linear equationsz − 4w = −4y − 3z + 14 = 133x + z + w = 1x + w = 2.Determine whether or not the system is consistent, and if it is, give a particular solution.[10 Marks](b) Compute the reduced row echelon form of the matrix0 0 1 1 11 3 −2 0 −12 6 −3 1 0 .[5 Marks]Suppose a system of linear equations is represented as an augmented matrix with reduced row echelon form1 0 4 00 1 1 00 0 0 10 0 0 0 .(c) Is the system consistent?[5 Marks](d) Give a basis for the solution set of the corresponding homogeneous system.[5 Marks][End of Question 1: Total 25 marks]COMP1043-MOCK Turn over

Which of the following pairs of linear equations are consistent/inconsistent? Ifconsistent, obtain the solution graphically

Determine the number of solutions the system has. Then state whether the system of equations is consistent or inconsistent and if it is independent or dependent. y=−32x+5𝑦=-32𝑥+5 y=−23x+5