Category: Matrices and Determinants

Question Number 116669 by Eric002 last updated on 05/Oct/20 Commented by Eric002 last updated on 05/Oct/20 $$d\acute{emontrer}quelestrianglesABCetIJK$$$$ontlem\widehat{eme}centredegravit\acute{e}$$ Answered…

Question Number 182050 by ali009 last updated on 03/Dec/22 $$A=\left[\begin{array}{ccc}a& b& c\\ -2& 3& 6\\ 0& -2& 5\end{array}\right]andB=\left[\begin{array}{ccc}1& 2& 4\\ 0& 3& 9\\ -1& 2& 2\end{array}\right]$$$$A\times B=\left[\begin{array}{ccc}-1& 3& -1\\ -8& d& 31\\ -5& 4& e\end{array}\right]findthemissingvalue$$ Answered by cortano1 last updated on 04/Dec/22 $$\left[\begin{array}{c}\mathrm{a}\mathrm{b}\mathrm{c}\\ -236\\ 0-25\end{array}\right]\left[\begin{array}{c}124\\ 039\\ -122\end{array}\right]=$$$$\:\:$$\left[\begin{array}{c}\mathrm{a}-\mathrm{c}2\mathrm{a}+3\mathrm{b}+2\mathrm{c}4\mathrm{a}+9\mathrm{b}+2\mathrm{c}\\ -81731\\ -54-8\end{array}\right]$$= \…

Question Number 181573 by alcohol last updated on 26/Nov/22 $${25}^x-4^x=9^x$$$$fimdx$$ Commented by mr W last updated on 26/Nov/22 $$\mathrm{5}−\mathrm{2}=\mathrm{3}…

Question Number 115508 by bemath last updated on 26/Sep/20 $$If\left|\begin{array}{c}a{a}^{2}1+a^3\\ b{b}^{2}1+b^3\\ c{c}^{2}1+c^3\end{array}\right|=0$$$$a\ne b\ne c\to \{\begin{array}{l}a=?\\ b=?\\ c=?\end{array}$$ Answered by bobhans last updated…

Question Number 114879 by bobhans last updated on 21/Sep/20 $$Iftheproductofthematrices$$$$\left(\begin{array}{c}11\\ 01\end{array}\right)\left(\begin{array}{c}12\\ 01\end{array}\right)\left(\begin{array}{c}13\\ 01\end{array}\right)\dots \left(\begin{array}{c}1k\\ 01\end{array}\right)=\left(\begin{array}{c}1378\\ 01\end{array}\right)$$$$thenk=$$ Answered by john santu last updated on 21/Sep/20 $$\left({i}\right)$$\left(\begin{array}{c}11\\ 01\end{array}\right)$$$$\left(\begin{array}{c}12\\ 01\end{array}\right)$$=$$\left(\begin{array}{c}13\\ 01\end{array}\right)$$…