D= [d₁ d₂]= brom 1 5 20 det U= { d₂ d₂} and let c=(-21, 47, 2, 4) a. Compute DT and explain why this justifies that I is an basis for . orthogonal b. Find a least-square solutions to Dx=6₂. Is this a unique solution ? Explain? C. Find a Vector Z & (Col-D) whose length is at the distance from C to ColD. Explain why this has shown that Dx=b is inconsistent d. T(x) = projet defines a linear transformation from R4= Col A. Compute the matrix of this linear transformation with respect to the Landard basis for the domain and the basis M for the codomain

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