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(1) Definition of a memoryless system: A system is said to be "memoryless" is its output is based soley on what the present input is.

Definition of a system with memory: A system is said to have "memory" if its output is based on the present input as well as past inputs.

(2) Defintion of a non-causal system: A system is said to be "non-causal" if its outputs are based on present input as well as past or future inputs.

Definition of a causal system: A system is said to be "causal" if its inputs are based only on its present inputs.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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