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| Scalar multiplication: |
Let a be a scalar. We will take a to be real if we consider only the real valued signals, and take  to be a complex number if we are considering complex valued sequence. Unless otherwise stated we will consider complex valued sequences. Let the resulting sequence be denoted by {w[n]} |
{w[n]} = a {x[n]} |
| is defined by
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| w[n] = ax[n] |
| each term is multiplied by a |
| We will use the notation
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a {w[n]} = {aw[n]} |
| Note: If we take the set of all sequences and define these two operations as addition and scalar multiplication they satisfy all the properties of a linear vector space. |
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