| 21. | This is accomplished by a matrix multiplication.
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| 22. | Cayley defined matrix multiplication and matrix inverses.
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| 23. | (matrix multiplication ) where the components of the primed object refer to the new frame.
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| 24. | Under the operation of matrix multiplication.
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| 25. | Composition is accomplished by matrix multiplication.
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| 26. | It acts on the 4-component elements of, called bispinors, by matrix multiplication.
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| 27. | Where \ cdot denotes matrix multiplication.
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| 28. | While studying compositions of linear transformations, Arthur Cayley was led to define matrix multiplication and inverses.
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| 29. | Matrix multiplication, for example, and multiplication in other algebras is in general non-commutative.
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| 30. | With the operations of matrix addition and matrix multiplication, this set satisfies the above ring axioms.
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