Determine the kernel and range of the linear transformation 
given by
.
Definitions:
Population Dynamics
The study of short- and long-term changes in the number, individual compositions, and distributions of populations, and the biological and environmental processes influencing those changes.
Domestic Dogs
Canines that have been domesticated for thousands of years, serving various roles in human society such as companionship, work, and protection.
Environmental Justice
Ensuring that people, no matter their ethnicity, color, country of origin, or financial situation, are treated fairly and play a meaningful role in the formulation, enforcement, and carrying out of policies, laws, and regulations related to the environment.
Environmental Racism
The practice of placing environmentally hazardous sites near marginalized communities based on race or socioeconomic status.
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