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Identify Mathematically Valid Explanations
Grade Level
Praxis Core
5165.271 Identify Mathematically Valid Explanations
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Which explanation correctly justifies that a square matrix with determinant 0 has no inverse?
A
A determinant of 0 means every entry in the matrix is 0.
B
A determinant of 0 means the linear transformation collapses volume or area, so different inputs can map to the same output and cannot be uniquely undone.
C
The inverse does not exist because determinants are used only for non-square matrices.
D
A determinant of 0 means the matrix has too many rows to solve a system.
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