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Definition: An operator L is said to be linearif

i) k*L[f] = L[(k*f)]

ii) L[f + g] = L[f] + L[g]

where k is a constant and f and g are functions.

Definition: An equation is said to be linear if it is of the form

a1x1 + a2x2 + a3x3 + . . . = 0

where a1, a2, a3, . . . are constants and x1, x2, x3, . . . are variables.

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βˆ™ 2011-05-10 18:13:32
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Q: What does linear mean in math definition form?
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