Question: (a) (1 point) Suppose F and G are two linear maps from R to R with FH=CH, FQ=GN- What is the relation of the

(a) (1 point) Suppose F and G are two linear maps from

(a) (1 point) Suppose F and G are two linear maps from R to R with FH=CH, FQ=GN- What is the relation of the two linear maps F and G. (b) (1 point) Look at R with coordinate axes labelled by z, y, z. What is the matrix of the linear transformation from R to R which describes rotation by 90 degrees counter-clockwise around the z-axis (counter-clockwise as seen from above, the positive z-axis)? (c) (1 point) What is the matrix of the linear transformation which reflects a vector at the x-z plane? (d) (1 point) What is the matrix of the linear transformation which first rotates a vector by 90 degrees around the z axis and then reflects the vector at the z-z plane?

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