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What does a "find kernel of linear transformation" calculator ascertain?

A) Solutions to systems of linear equations
B) The basis of a vector space
C) The range of a linear transformation
D) The null space of a linear transformation

User Pkliang
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1 Answer

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Final answer:

A "find kernel of linear transformation" calculator ascertains the null space of a linear transformation. The null space, also known as the kernel, of a linear transformation is the set of vectors that map to the zero vector in the codomain. The basis for the null space can be found using a calculator. Hence the correct answer is option D

Step-by-step explanation:

A "find kernel of linear transformation" calculator ascertains the null space of a linear transformation. The null space, also known as the kernel, of a linear transformation is the set of vectors that map to the zero vector in the codomain. It represents the vectors that, when multiplied by the linear transformation, result in the zero vector. The calculator helps find the basis for this null space, which is a set of linearly independent vectors that span the null space.

Hence the correct answer is option D

User BioGeek
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