In this lesson, we will learn how to find the matrix of projection of vectors on a given vector and the image of a vector under a given projection transformation.

Q1:

Find the matrix of the transformation which projects vectors in ℝ onto the vector u=(1,−2,3).

Q2:

Find the matrix of the transformation which projects vectors in ℝ onto the vector u=(1,0,3).

Q3:

Find the matrix of the transformation which projects vectors in ℝ onto the vector u=(1,5,3).

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