6: Linear Maps
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As discussed in Chapter 1, one of the main goals of Linear Algebra is the characterization of solutions to a system of m linear equations in n unknowns x1,…,xn,
a11x1+⋯+a1nxn=b1⋮⋮⋮am1x1+⋯+amnxn=bm},
where each of the coefficients aij and bi is in F. Linear maps and their properties give us insight into the characteristics of solutions to linear systems.
Contributors
- Isaiah Lankham, Mathematics Department at UC Davis
- Bruno Nachtergaele, Mathematics Department at UC Davis
- Anne Schilling, Mathematics Department at UC Davis
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