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Find a matrix A that is not invertible and b such that Ax equals b has a unique solution?
Wiki User
∙ 14y ago
A matrix with a row or a column of zeros cannot have an inverse.
Proof:
Let A denote a matrix which has an entire row or column of zeros. If B is any matrix, then AB has an entire rows of zeros, or BA has an entire column of zeros. Thus, neither AB nor BA can be the identity matrix, so A cannot have an inverse, or A cannot be invertible.
Since A is not invertible, then Ax = b has not a unique solution.
Wiki User
∙ 14y ago
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