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Home/ Questions/Q 997349
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Editorial Team
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Editorial Team
Asked: May 16, 20262026-05-16T07:01:08+00:00 2026-05-16T07:01:08+00:00

I recently started reading OpenGL Superbible 5th edition and noticed the following: Having just

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I recently started reading OpenGL Superbible 5th edition and noticed the following:

Equation in question

Having just taken linear algebra this seemed odd to me. The column vector is of dimension 4×1 and the matrix is 4×4, how is it possible to multiply them together? If the vector were a row-vector and the output were a row vector I agree that it would be possible, but this?

Update: I emailed the author and he said that I was correct. He noticed the order was wrong in the previous edition of the book, however it ended up not being fixed in the 5th edition.

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  1. Editorial Team
    Editorial Team
    2026-05-16T07:01:09+00:00Added an answer on May 16, 2026 at 7:01 am

    I agree: it should be a column vector that’s pre-multiplied by the identity matrix.

    If it’s a row vector, then the RHS needs to be a row vector as well to make the dimensions match.

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