Homogeneous system of equations, Algebra

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The reduced row echelon form of  2068_Homogeneous system of equations.png is equal to R = 149_Homogeneous system of equations1.png

 

(a)  What can you say about row 3 of A? Give an example of a possible third row for A.

(b)  Determine the values of a and b.

(c)  Determine the solution of the homogeneous system of equations Rx = 0 in parametric vector form.

(d)  What is the dimension of the column space of A? Do the columns of A span R3 ?


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