Consider the following augmented matrix that is in row echelon form.\\ $\begin{bmatrix} 1 & 3 & \vert & 1\\ 0 & 1 & \vert & -1 \\ 0 & 0 & \vert & 0 \end{bmatrix}$\\ The corresponding linear system is consistent.\\ True\\ False
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If one row in an echelon form of an augmented matrix is [0 0 0 5 0], then the associated linear system is inconsistent. Is this statement true or false? A. The statement is true. The indicated row corresponds to the equation 5x4 = 0. This equation is not a contradiction, so the linear system is inconsistent. B. The statement is true. The indicated row corresponds to the equation 5 = 0. This equation is a contradiction, so the linear system is inconsistent. C. The statement is false. The indicated row corresponds to the equation 5x4 = 0, which does not by itself make the system inconsistent. D. The statement is false. The indicated row corresponds to the equation 5x4 = 0, which means the system is consistent.
Zhumagali S.
True or False The matrix $\left[\begin{array}{ll|r}1 & 3 & -2 \\ 0 & 1 & 5 \\ 0 & 0 & 0\end{array}\right]$ is in row echelon form.
Systems of Equations and Inequalities
Systems of Linear Equations: Matrices
True or False .The matrix $\left[\begin{array}{rr|r}{1} & {3} & {-2} \\ {0} & {1} & {5} \\ {0} & {0} & {0}\end{array}\right]$ is in row echelon form.
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