Final answer:
Without specific details about the linear transformation, we cannot determine if it is one-to-one and onto. Definitions of 'one-to-one' and 'onto' require knowledge of the transformation to make such a determination.
Step-by-step explanation:
To determine if a specified linear transformation is one-to-one and onto, we need to understand the definitions of these terms. A linear transformation is one-to-one if each element of the codomain is mapped by at most one element of the domain. In other words, different inputs will always produce different outputs, which means the transformation has an inverse. A linear transformation is onto if every element of the codomain is the image of at least one element from the domain, ensuring that the entire codomain is 'covered' by the transformation.
Without specific information about the transformation, such as a matrix representation or a functional form, we cannot ascertain if it is one-to-one or onto. It is crucial to have this information to justify the conclusion if the transformation is indeed one-to-one and onto or not.