Mathematics · Linear Algebra & Matrices
Suppose A is a 2 × 2 matrix. If the determinant |A| ≠ 0, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The matrix is singular and invertible.
- 2The matrix is non-singular and its rank is strictly less than 2.
- 3The matrix is singular and its rows are linearly dependent.
- 4The matrix is non-singular and there is no linear dependence between its rows/columns.✓
Correct answer
The matrix is non-singular and there is no linear dependence between its rows/columns.
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