Consider the following augmented matrices: A=[1 2 −1 0 0 0 1 −3 0 1 0 −2], B=[1 0 0 1 0 1 0 0 0 0 0 1], C=[5 2 −1 0 0 1 4 −3 0 0 0 −2]. Select the correct option for each matrix. The matrix A is [ Select ] in row echelon form but not reduced row echelon form not in row echelon form in reduced row echelon form . The matrix B is [ Select ] in reduced row echelon form in row echelon form but not reduced row echelon form not in row echelon form . The matrix C is [ Select ] in row echelon form but not reduced row echelon form not in row echelon form in reduced row echelon form .多重下拉选择题
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类似问题
The system of linear equations \[\begin{eqnarray}2x_1 + 3x_2 + x_3 + x_5 &=& -1 \\-4x_1 -6x_2 -2x_3-4x_4+18x_5 &=& 26 \\10x_1 + 15x_2 +5x_3 - x_4 + 10x_5 &=& 1\end{eqnarray}\] has row echelon form \[\left[\begin{array}{rrrrr|r}2 & 3 & 1 & 0 & 1 & -1 \\0 & 0 & 0 & -1 & 5 & 6 \\0 & 0 & 0 & 0 & 0 & 0\end{array}\right].\] How many solutions does this system have?
Which of the following matrices is in row echelon form (choose one or more)?
Which of the following matrices is in row echelon form (choose one or more)?
Row echelon forms of the augmented matrices for three systems of linear equations in 𝑥 , 𝑦 and 𝑧 are given below. For each augmented matrix, 𝐴 , 𝐵 and 𝐶 , which of the following options correctly describes the number of solutions to the corresponding system of linear equations? [ 1 0 0 | 2 0 1 0 | 0 0 0 1 | − 1 ] ⏟ 𝐴 [ 1 0 0 | − 2 0 0 0 | 0 0 0 0 | 0 ] ⏟ 𝐵 [ 1 0 0 | 0 0 1 0 | 4 0 0 0 | − 2 ] ⏟ 𝐶
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