Question: Consider the system w x + 3y z = 0 w + 4x y + z = 3 3w + 7x + y + z

Consider the system

w x + 3y z = 0

w + 4x y + z = 3

3w + 7x + y + z = 6.

a Calculate the rank of the augmented matrix.

b Find basic and free variables.

c Is there any successful decomposition into endogenous and exogenous variables? Why?

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