Linear Maps and Matrices

Rami Shakarchi

Chapter Chapter IV in Solutions Manual for Lang’s Linear Algebra, 1996, pp 57-64 from Springer

Abstract: Abstract In each case, find the vector L A (X). $$ \begin{gathered} (a) A = \left( {\begin{array}{*{20}c} 2 & 1 \\ 1 & 0 \\ \end{array} } \right), X = \left( {\begin{array}{*{20}c} 3 \\ { - 1} \\ \end{array} } \right) (b) A = \left( {\begin{array}{*{20}c} 1 & 0 \\ 0 & 0 \\ \end{array} } \right), X = \left( {\begin{array}{*{20}c} 5 \\ 1 \\ \end{array} } \right) \hfill \\ (c) A = \left( {\begin{array}{*{20}c} 1 & 1 \\ 0 & 1 \\ \end{array} } \right), X = \left( {\begin{array}{*{20}c} 4 \\ 1 \\ \end{array} } \right) (d) A = \left( {\begin{array}{*{20}c} 0 & 0 \\ 0 & 1 \\ \end{array} } \right),X = \left( {\begin{array}{*{20}c} 7 \\ { - 3} \\ \end{array} } \right) \hfill \\ \end{gathered} $$ SOLUTION. $$ (a)\left( {\begin{array}{*{20}c} 5 \\ 3 \\ \end{array} } \right)(b)\left( {\begin{array}{*{20}c} 5 \\ 0 \\ \end{array} } \right)(c)\left( {\begin{array}{*{20}c} 5 \\ 1 \\ \end{array} } \right)(d)\left( {\begin{array}{*{20}c} 0 \\ { - 3} \\ \end{array} } \right). $$

Date: 1996
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DOI: 10.1007/978-1-4612-0755-9_4

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