Question 1

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Donat l'espai vectorial real numbers squared i left curly bracket e subscript 1 comma e subscript 2 right curly bracket una base. Es consideren els vectors

u subscript 1 equals negative 2 asterisk times e subscript 1 plus 5 asterisk times e subscript 2
u subscript 2 equals 6 asterisk times e subscript 1 plus 1 asterisk times e subscript 2

Comproveu que left curly bracket u subscript 1 comma u subscript 2 right curly bracket formen una base de real numbers squared i calculeu les components del vector x equals 1 times e subscript 1 plus 9 times e subscript 2 en la base left curly bracket u subscript 1 comma u subscript 2 right curly bracket.


Nota: si les components en la nova base són 1,2 escriviu com a solució {1,2}.






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