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Matrix Operations

Matrix Operations. Section 4.1. Definitions. Matrix – a rectangular arrangement of numbers in rows and columns Row matrix – a matrix with only one row Column matrix – a matrix with only one column Square matrix – a matrix with the same number of rows and columns

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Matrix Operations

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  1. Matrix Operations Section 4.1

  2. Definitions • Matrix – a rectangular arrangement of numbers in rows and columns • Row matrix – a matrix with only one row • Column matrix – a matrix with only one column • Square matrix – a matrix with the same number of rows and columns • Equal matrices – matrices whose dimensions are the same and whose corresponding entries are equal.

  3. Adding and subtracting matrices • To add or subtract matrices, you add or subtract corresponding entries. • You can add or subtract matrices only if they have the same dimensions. 3 3 2 0 1 3 - = 9 -5 -3 5 12 -10

  4. Matrix scalar multiplication • In matrix algebra, a real number is often called a scalar. To multiply a matrix by a scalar, you multiply each entry in the matrix by the scalar. This process is called scalar multiplication. 2 -3 12 -18 6 = 8 -6 48 -36

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