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Page 3b -- Properties of Vector Algebra

Vectors can be expressed as rows or columns, but are most commonly in column vector format for ease of manipulation.

ADDITION:

An element in C is the sum of the corresponding elements in A and B. (Vectors must be the same size.)

Equation

MULTIPLICATION:

An element in C is the sum of the product of the corresponding row in A and column in B. The size of the resulting matrix is determined by the number of columns in A and rows in B.

For example:

  1. Equation

  2. Equation

  3. Equation