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Process Control: Modeling, Design, and Simulation by B. Wayne Bequette

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M1.2. Matrix Operations

Matrix Notation Review

Matrices are ordered arrays of one or more dimensions. A one-dimensional matrix that can be either a column or a row is known as a vector. In this text, we normally use subscripts to denote the element numbers. Consider the following vectors of length 3, where c is a column vector and r is a row vector.

Transposing each vector results in the following, where the superscript 'T' represents a transpose:

A 3 × 2 matrix has three rows and two columns, as shown by the matrix G:

Notice that the ij subscript ...

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