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.