Mathematics · Linear Algebra
A system of linear equations is represented by the matrix equation Ax = b. The necessary and sufficient condition for the existence of a solution for this system is that:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The vector b must be orthogonal to the columns of A
- 2b must be linearly independent of the columns of A
- 3b must be linearly dependent on the columns of A✓
- 4A must be an invertible matrix
Correct answer
b must be linearly dependent on the columns of A
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