Find the transformation matrix that rotates the axis [tex]x_3[/tex] of a rectangular coordinate system 45 degrees toward [tex]x_1[/tex] around the [tex]x_2[/tex] axis.(adsbygoogle = window.adsbygoogle || []).push({});

I have a question about what exactly are the [tex]x_1,x_2,x_3[/tex] supposed to be. Do I assume that they are the x,y,z axis?

Also, what is the general form of a two-dimensional transformation matrix? I know that there are different ones for rotation, scaling, shearing, and so on. But is there a general form for a 2x2 transformation matrix?

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# Homework Help: Transformation matrix

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