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7.5B-Matrix Multiplication

7.5B-Matrix Multiplication. Matrix Multiplication is DEFINED (possible) only if # of Columns of first matrix is EQUAL to the # of Rows of the second matrix. Row x Columns • Rows x Columns ↑ ____ same__ ↑. Examples: Is Multiplication Defined?. 1. 2. 3.

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7.5B-Matrix Multiplication

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  1. 7.5B-Matrix Multiplication • Matrix Multiplication is DEFINED (possible) only if # of Columns of first matrix is EQUAL to the # of Rows of the second matrix. Row x Columns• Rows x Columns ↑____ same__↑

  2. Examples: Is Multiplication Defined? • 1. • 2. • 3.

  3. Order of Matrix Multiplication • IF matrix multiplication is defined, then the ORDER (size) of the product will be the # of Rows of the first matrix by the # of Columns of the second matrix Rows x Columns • Rows x Columns ↑__ SAME___↑ ↑________ ORDER (Size) ________↑

  4. Examples: Determine the ORDER • 4. • 5. • 6. • 7.

  5. How to Multiply Matrices • 1. Decide if Multiplication is DEFINED (possible) • 2. Determine the ORDER (size) of the product • 3. Make an empty matrix of the correct size • 4. Use ROWS → of the first matrix and COLUMNS ↓ of the second matrix for the location of the desired entry • 5. Add the products (multiply) of pairs to find EACH entry separately.

  6. How to Multiply Matrices

  7. Examples: Multiply the Matrices • 4. • 5. • 6. • 7.

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