Category: Matrices and Determinants

Question Number 55663 by peter frank last updated on 01/Mar/19 Answered by tanmay.chaudhury50@gmail.com last updated on 01/Mar/19 $${b}_{\mathrm{1}} \:{b}_{\mathrm{2}\:} \:{b}_{\mathrm{3}} \:{b}_{\mathrm{4}} \:{b}_{\mathrm{5}} \:{b}_{\mathrm{6}} \:{b}_{\mathrm{7}} \:{b}_{\bigstar}…

Question Number 55374 by gunawan last updated on 23/Feb/19 $$\mathrm{Given}\mathrm{matrices}A\left(x\right)=\left[\begin{array}{cc}x-1& 3\\ 4& x+3\end{array}\right]\in M_2\left(\mathbb{R}\right).$$$$\mathrm{The}\mathrm{smallest}\det \left(A\left(x\right)\right)\mathrm{is}..$$ Answered by Joel578 last updated on 23/Feb/19 $$\mid A\left(x\right)\mid =(x-1)(x+3)-12$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:{x}^{\mathrm{2}}…

Question Number 54968 by gunawan last updated on 15/Feb/19 $$\mathrm{Let}A\mathrm{matrices}\mathrm{order}2\times 2\mathrm{the}\mathrm{fill}$$$$\mathrm{tr}\left(A^2\right)={\left[tr\left(A\right)\right]}^2$$$$\mathrm{a}.\mathrm{Find}\det \left(\mathrm{A}\right)$$$$\mathrm{b}.\mathrm{If}\mathrm{A}{\mathrm{can}}^{\prime }\mathrm{t}\mathrm{diagonalizing},\mathrm{find}\mathrm{tr}\left(A\right)$$$$$$ Answered by kaivan.ahmadi last…

Question Number 54962 by gunawan last updated on 15/Feb/19 $$\mathrm{Let}X=\{(-1,0,0),(1,1,0),(0,1,1)$$$$\mathrm{and}\mathrm{ortogonal}\mathrm{projection}\mathrm{at}X.$$$$\mathrm{Matrices}\mathrm{representation}\mathrm{P}\mathrm{to}$$$$\mathrm{basic}\mathrm{basis}\mathrm{in}\mathrm{space}\mathrm{Euclid}{\mathrm{R}}^3\mathrm{is}..$$ Terms of Service Privacy Policy Contact:…

Question Number 54953 by gunawan last updated on 15/Feb/19 $$\mathrm{The}\mathrm{characteristic}\mathrm{polynomial}$$$$\mathrm{matrices}\left[\begin{array}{ccc}1& -2& 3\\ 4& 5& -6\\ -7& 8& 9\end{array}\right]\mathrm{is}\dots$$ Commented by maxmathsup by imad last updated on 16/Feb/19 $${det}\left({A}−{xI}\right)\:=$$\left|\begin{array}{c}1-x-23\\ 45-x-6\end{array}\right|$$ \…