Pull and Twist
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I am having trouble with the following problem;
a.) Find a matrix B in reduced echelon form such that B is row equivalent to the given matrix A.
A=$$\left[\begin{array}{c}1 & 2 & 3 & -1 \\ 3 & 5 & 8 & -2 \\ 1 & 1 & 2 & 0 \end{array}\right]$$
So using my calculator I am able to get,
B=$$\left[\begin{array}{c}1 & 5/8 & 8/3 & -2/3 \\ 0 & 1 & 1 & -1 \\ 0 & 0 & 0 & 0 \end{array}\right]$$
The problem is that the book claims that B should be;
B=$$\left[\begin{array}{c}1 & 2 & 3 & -1 \\ 0 & -1 & -1 & 1 \\ 0 & 0 & 0 & 0 \end{array}\right]$$
Which is weird cause according to the row equivalency theorem, any B of A in REF should be the same unique row equivalent matrix. Why am I not getting the same result?? I am using a TI-83 Plus.
a.) Find a matrix B in reduced echelon form such that B is row equivalent to the given matrix A.
A=$$\left[\begin{array}{c}1 & 2 & 3 & -1 \\ 3 & 5 & 8 & -2 \\ 1 & 1 & 2 & 0 \end{array}\right]$$
So using my calculator I am able to get,
B=$$\left[\begin{array}{c}1 & 5/8 & 8/3 & -2/3 \\ 0 & 1 & 1 & -1 \\ 0 & 0 & 0 & 0 \end{array}\right]$$
The problem is that the book claims that B should be;
B=$$\left[\begin{array}{c}1 & 2 & 3 & -1 \\ 0 & -1 & -1 & 1 \\ 0 & 0 & 0 & 0 \end{array}\right]$$
Which is weird cause according to the row equivalency theorem, any B of A in REF should be the same unique row equivalent matrix. Why am I not getting the same result?? I am using a TI-83 Plus.