Suppose Is a Linear Transformation That Is Not One-To-One

question 18

True/False

Suppose is a linear transformation that is not one-to-one, and is not the trivial transformation, that is, for some v in V. Then .

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Definitions:

Axon

A long, slender projection of a nerve cell, or neuron, that conducts electrical impulses away from the neuron's cell body to other neurons, muscles, or glands.

Local Potential

Small changes in membrane potential that are localized and can lead to the generation of an action potential if threshold is reached.

Resting Membrane Potential

The electrical charge difference across the cell membrane when the cell is not conducting electrical signals, maintaining a negative charge inside relative to the outside.

Plasma Membrane

The biological membrane that separates the interior of all cells from the outside environment, controlling the passage of substances in and out of cells.