Question and Answers Forum

All Questions      Topic List

Matrices and Determinants Questions

Previous in All Question      Next in All Question      

Previous in Matrices and Determinants      Next in Matrices and Determinants      

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

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

$$\mathit{w}=a\mathit{u}+b\mathit{v}$$$$\left[\begin{array}{c}1\\ 2\\ r\\ s\end{array}\right]=a\left[\begin{array}{c}1\\ 0\\ 5\\ -1\end{array}\right]+b\left[\begin{array}{c}1\\ 1\\ 3\\ 1\end{array}\right]$$$$1=a\times 1+b\times 1$$$$2=a\times 0+b\times 1$$$$\Rightarrow b=2\Rightarrow a=-1$$$$r=a\times 5+b\times 3=-5+6=1$$$$s=a\times (-1)+b\times 1=1+2=3$$

Commented by Mingma last updated on 18/Feb/25

Perfect ��

Terms of Service

Privacy Policy

Contact: info@tinkutara.com