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 39612 by Tinkutara last updated on 08/Jul/18

Commented by MJS last updated on 08/Jul/18

$$\mathrm{true}.{\mathrm{that}}^{\prime }\mathrm{s}\mathrm{why}\mathrm{I}\mathrm{posted}\mathrm{the}\mathrm{other}\mathrm{solutions}$$

Commented by MJS last updated on 08/Jul/18

$$\lambda =0\Rightarrow x^3-5x^2+4x=0$$$$x(x^2-5x+4)=0$$$$x(x-1)(x-4)=0$$$$x_1=0=A(\mathrm{just}\mathrm{because}\mathrm{of}‘‘A^{″}\mathrm{used}\mathrm{in}\mathrm{question})$$$$x_2=1=A_1$$$$x_3=4=A_2$$

Commented by Tinkutara last updated on 08/Jul/18

$$Butevenif\lambda =0,A=Oisnotnecessary.$$

Commented by Tinkutara last updated on 08/Jul/18

Thank you very much Sir! I got the answer. ��������

Answered by MJS last updated on 08/Jul/18

$$A^{-1}\Rightarrow A\ne 0\Rightarrow \lambda \ne 0$$$$(\mathrm{but}\mathrm{of}\mathrm{course}\mathrm{if}\lambda =0\mathrm{we}\mathrm{have}{A}_1=0;A_2\ne 0;$$$$A_3\ne 0\Rightarrow A_1^{-1}{\mathrm{doesn}}^{\prime }\mathrm{t}\mathrm{exist}\mathrm{but}{A}_2^{-1},A_3^{-1}\mathrm{both}$$$$\mathrm{exist})$$

Commented by Tinkutara last updated on 08/Jul/18

$$Sirwhatis{A}_1,A_{2}etc?$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com