Use elementary row and column operations to transform each of the following matrices
Chapter 3, Problem 5(choose chapter or problem)
Use elementary row and column operations to transform each of the following matrices into a matrix D satisfying the conditions of Theorem 3.6, and then determine the rank of each matrix.
(a) \(\left(\begin{array}{rrrr}
1 & 1 & 1 & 2 \\
2 & 0 & -1 & 2 \\
1 & 1 & 1 & 2
\end{array}\right)\)
(b) \(\left(\begin{array}{rr}
2 & 1 \\
-1 & 2 \\
2 & 1
\end{array}\right)\)
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