# Basis change --- Introduction ---

This is a classical exercise on vector spaces: one gives a new basis libgcov profiling error:/var/lib/wims/src/calc.gcda:Merge mismatch for function 93 $ℬ$ of libgcov profiling error:/var/lib/wims/src/calc.gcda:Merge mismatch for function 93 ${ℝ}^{n}$ as well as a vector $u$ written under the standard basis of libgcov profiling error:/var/lib/wims/src/calc.gcda:Merge mismatch for function 93 ${ℝ}^{n}$, and you should find the coefficients of $u$ in the basis libgcov profiling error:/var/lib/wims/src/calc.gcda:Merge mismatch for function 93 $ℬ=\left({v}_{1},{v}_{2},\cdots ,{v}_{n}\right)$, that is the real numbers ${c}_{i}$ libgcov profiling error:/var/lib/wims/src/calc.gcda:Merge mismatch for function 93 $\left(i=1,\dots ,n\right)$ such that :
libgcov profiling error:/var/lib/wims/src/calc.gcda:Merge mismatch for function 93 $u={\sum }_{i=1}^{n}{c}_{i}{v}_{i}$.
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• Description: write a vector under another basis. interactive exercises, online calculators and plotters, mathematical recreation and games
• Keywords: interactive mathematics, interactive math, server side interactivity, algebra, linear_algebra, vector_space, vectors, basis, basis_change