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Algebra II Recipe: Multiplying Matrices
A. Steps for A•B
  1. The number of columns in matrix A must be equal to the number of rows in matrix B.
  2. Multiply the entries in row 1 of matrix A by the entries in column 1 of matrix B, add the products and the result goes in row 1 column 1 of answer.
  3. Multiply row 1 of matrix A by column 2 of matrix B, add the products and the result goes in row 1 column 2 of answer.
  4. Continue until row 1 of matrix A has been multiplied by every column of matrix B.
  5. Multiply row 2 of matrix A by every column of matrix B.
  6. Continue until you have used each row in matrix A.
  7. Matrix multiplication is not commutative. AB ¹ BA
ExamplesExamples:
D · E =

E · D =

A · B =

B · A =




G Redden

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