Worksheet: Linear Transformations in Planes: Projection

In this worksheet, we will practice finding 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
onto the vector
.

A

B

C

D

E

Q2:

Find the matrix of the transformation which projects vectors in onto the vector .

A

B

C

D

E

Q3:

Find the matrix of the transformation which projects vectors in onto the vector .

A

B

C

D

E

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