Question

Show that the given matrices are row equivalent and find a sequence of elementary row operations that will convert \( A \) into \( B \). \[ A=\left[\begin{array}{ll} 1 & 2 \\ 5 & 8 \end{array}\right], B=\left[\begin{array}{rr} 3 & -1 \\ 1 & 0 \end{array}\right] \] \[ A=\left[\begin{array}{ll} 1 & 2 \\ 5 & 8 \end{array}\right] \stackrel{R_{2}-\square}{\longrightarrow} R_{1}\left[\begin{array}{ll} 1 & 2 \\ 1 & 0 \end{array}\right] \stackrel{\square}{\longrightarrow} R_{1}\left[\begin{array}{cc} -\frac{1}{2} & -1 \\ 1 & 0 \end{array}\right] \stackrel{R_{1}+\square}{\longrightarrow} R_{2}\left[\begin{array}{cc} 3 & -1 \\ 1 & 0 \end{array}\right]=B \] Need Help?

          Show that the given matrices are row equivalent and find a sequence of elementary row operations that will convert \( A \) into \( B \).
\[
A=\left[\begin{array}{ll}
1 & 2 \\
5 & 8
\end{array}\right], B=\left[\begin{array}{rr}
3 & -1 \\
1 & 0
\end{array}\right]
\]
\[
A=\left[\begin{array}{ll}
1 & 2 \\
5 & 8
\end{array}\right] \stackrel{R_{2}-\square}{\longrightarrow} R_{1}\left[\begin{array}{ll}
1 & 2 \\
1 & 0
\end{array}\right] \stackrel{\square}{\longrightarrow} R_{1}\left[\begin{array}{cc}
-\frac{1}{2} & -1 \\
1 & 0
\end{array}\right] \stackrel{R_{1}+\square}{\longrightarrow} R_{2}\left[\begin{array}{cc}
3 & -1 \\
1 & 0
\end{array}\right]=B
\]
Need Help?

Show more…

Show that the given matrices are row equivalent and find a sequence of elementary row operations that will convert A into B.

A=[
1 2

5 8
], B=[
3 -1

1 0
]

A=[
1 2

5 8
] R2-□⟶ R1[
1 2

1 0
] □⟶ R1[
-(1)/(2) -1

1 0
] R1+□⟶ R2[
3 -1

1 0
]=B

Need Help?

Added by Mohamed A.

Elementary Linear Algebra: Applications Version

Howard Anton, Chris Rorres 11th Edition

Chapter 5

Instant Answer

Solved by Expert Anthony Ramos

05/25/2021

Step 1

To do this, we can subtract 5 times the first row from the second row. This gives us the following matrix: \[ A = \left[\begin{array}{ll} 1 & 2 \\ 0 & -2 \end{array}\right] \] Step 2: Now, we want to make the second row's second element equal to 1. To do this, Show more…

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Show that the given matrices are row equivalent and find a sequence of elementary row operations that will convert A into B.

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