CHAPTER 14 — Matrix times Column Matrix

A matrix and a column matrix can be multiplied together if their dimensions allow for it. This is a fundamental operation in computer graphics (and in many other fields). When a 3D graphics program is running the operation is performed millions of times per second.

Chapter Topics:

• Dimensions of the operands and of the result
• Matrix-column matrix multiplication
• row matrix-Matrix multiplication
• How each element of the result is a dot product

You have seen several multiplication-like operations before:

• Scalar times a scalar, resulting in a scalar
• Scalar times a column matrix, resulting in a column matrix
• Column matrix dot-product with a column matrix, resulting in a scalar