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(a) Find a basis for R(A) consisting of columns of A. (b) Find a basis for N(A). (c) Find a basis for R(A T ).

(a) Find a basis for R(A) consisting of columns of A.

(b) Find a basis for N(A).

(c) Find a basis for R(A T ).

(d) Find a basis for the row space of A consisting of rows of A.

Let A = egin{bmatrix} 1 & -2& 0& 3& 2\ 2& -4& 1& 2& 5\ 1& -2& 1& -1& 3\ 3& -6& 2& 1& 8 end{bmatrix}

A = 1 -2 2 -4 1 -2 0 3 2 1 2 5 1 3-6 2 2 -1 3 1 18

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Let a The columns of this matrix are Since any nonzero column is linearly independent we add to the incompete basis for the range of A We notice that Therefore the second column is contained in the sp... blur-text-image

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