Question-216755

Question Number 216755 by Mingma last updated on 18/Feb/25

Answered by mr W last updated on 18/Feb/25

w = a u + b v

[\begin{matrix} 1 \\ 2 \\ r \\ s \end{matrix}] = a [\begin{matrix} 1 \\ 0 \\ 5 \\ - 1 \end{matrix}] + b [\begin{matrix} 1 \\ 1 \\ 3 \\ 1 \end{matrix}]

1 = a \times 1 + b \times 1

2 = a \times 0 + b \times 1

\Rightarrow b = 2 \Rightarrow a = - 1

r = a \times 5 + b \times 3 = - 5 + 6 = 1

s = a \times (- 1) + b \times 1 = 1 + 2 = 3

Commented by Mingma last updated on 18/Feb/25

Perfect ��