Matrices & Determinants
Inverse of a matrix
Grade None

Question:

<p>If determinant is non-zero, inverse exists because:</p>
rank is zero
matrix is singular
matrix is non-singular
matrix is zero

Step-by-Step Solution

Key Concept: Inverse exists only for non-singular matrices.
1. $\Delta$ $\neq$ 0 2. Matrix non-singular 3. Inverse exists
Correct Answer: 3

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