222k views
4 votes
Every matrix transformation is a linear transformation.
a. True
b. False

User Madhu
by
7.9k points

1 Answer

1 vote

Final answer:

False. Every matrix transformation is not a linear transformation. A linear transformation preserves addition and scalar multiplication, which not every matrix transformation does.

Step-by-step explanation:

False

Every matrix transformation is not a linear transformation. A linear transformation is a function that satisfies two properties: additivity and homogeneity. In other words, it preserves addition and scalar multiplication. However, not every matrix transformation satisfies these properties. For example, a matrix transformation that only applies a non-zero scaling to the vectors is not a linear transformation because it does not preserve addition.

User Kapeels
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories