Take 10 minutes to prepare this exercise.
Then, if you lack ideas to begin, look at the given clue and start searching for the solution.
A detailed solution is then proposed to you.
If you have more questions, feel to ask then on the forum.
Question
Determine the coordinates of vector
in the basis of
Indice
Solve the system inferred from the equaltiy
Solution
We look for two real numbers
and
such that:
which is equivalent to:
The first equation gives us
and by reporting this in the second one, we have:
which implies
then
The coordinates of vector
in basis
of
are therefore