The row echelon form of a system of linear equations is given. (a) Write the sys

Question

The row echelon form of a system of linear equations is given. (a) Write the system of equations corresponding to the given matrix. Use *, X, 2 as variables. (b) Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 1 0 7-4 0 1-4-7 : (a) y 4z -7 (b) The system is consistent. The solutions are x--7z-4, y = 42-7 where z is any real number. - = . 12= y 4z dz- 7; x =-72+ 4, y = 4z + 7 = (a) (b) The system is consistent. The solutions are where Z is any real number. - /shared/assignment/testaglist.uni#N100C

Explanation / Answer

a)system of equations are

x+7z=-4

y-4z=-7

0=0

......................

b) system is consistent ,x =-7z-4 ,y=4z -7, z is any real number

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