Page 298 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 298

Use matrix multiplication to find the orthogonal projection of (2, −5) on
10.

         (a) the x-axis

         (b) the y-axis

     Use matrix multiplication to find the orthogonal projection of (−2, 1, 3) on
11.

         (a) the -plane

         (b) the -plane

         (c) the -plane

     Use matrix multiplication to find the image of the vector (3, −4) when it is rotated through an angle of
12.

         (a)

         (b)

         (c)

         (d)

     Use matrix multiplication to find the image of the vector (−2, 1, 2) if it is rotated
13.

         (a) 30° about the x-axis

         (b) 45° about the y-axis

         (c) 90° about the z-axis

          Find the standard matrix for the linear operator that rotates a vector in through an angle of        about
14.

              (a) the x-axis

              (b) the y-axis
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