Question: Consider the matrix A=010060161 Part a. Compute a basis for the row space of this matrix. Part b. Compute a basis for the column space

Consider the matrix A=010060161 Part a. Compute a basis for the

Consider the matrix A=010060161 Part a. Compute a basis for the row space of this matrix. Part b. Compute a basis for the column space (AKA range (A)) of this matrix. Part c. Create a Matlab script to graphically visualize the row space of this matrix. Do this by randomly combining the basis vectors from part a and graphing the resulting vectors. Part d. Consider the equation b=xA Find a solution xR13 which satisfies this equation if b=b1=(135). Repeat for b=b2=(2125). If a solution is not possible, explain why not. Part e. Create a Matlab script to graphically visualize the column space of this matrix. Do this by randomly combining the basis vectors from part b and graphing the resulting vectors. Part f. Consider the equation b=Ax Find a solution xR31 which satisfies this equation if b=b3=(255)T. Repeat for b=b4=(252)T. If a solution is not possible, explain why not

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