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Question: If The Augmented Matrix Of The Linear System Ax = B Has A Pivot In The Last Column, Then The System Ax = B

Question: If The Augmented Matrix Of The Linear System Ax = B Has A Pivot In The Last Column, Then The System Ax = B Has No Solution. 0 0image text in transcribed

D If the augmented matrix of the linear system Ax = b has a pivot in the last column, then the system Ax solution. === b has no If A is a 3 x 3 matrix such that the homogeneous linear sys- tem Ax = 0 has only the trivial solution, then the the linear system Ax = b is consistent for every b R. R2 is a subspace of R. If x is a nontrivial solution of Ax = 0, then every entry in x is nonzero. A single linear equation with two or more variables must al- ways have infinitely many solutions. A linear system Ax = b is consistent if and only if b is a linear combination of the rows of A.

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