MathAlgebraLinear algebraLinear operators

Introduction to linear operators

What about this mapping?

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Suppose we have a mapping $\mathcal{B} \colon V \to V$ such that $\mathcal{B}x = x + \lambda,$ where $\lambda$ is a nonzero vector. Is $\mathcal{B}$ a linear operator?

Tip: Consider a zero vector.

Select one option from the list

Yes, it is a linear operator.

No, it is not a linear operator.

It depends on a vector space V.

It is not a mapping.

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