Left[ begin{array}{l},,,1 - 1,,,2end{array} right],,[2{rm{ }},,1{rm{ }}

Hindi

3 and 4 .Determinants and Matrices

easy

$\left[ \begin{array}{l}\,\,\,1\\ - 1\\\,\,\,2\end{array} \right]\,\,[2{\rm{ }}\,\,1{\rm{ }} - 1]$ =

$[-1]$

$\left[ \begin{array}{l}\,\,\,2\\ - 1\\ - 2\end{array} \right]$

$\left[ {\begin{array}{*{20}{c}}{\,\,2}&{\,\,1}&{ - 1}\\{ - 2}&{ - 1}&{\,\,1}\\{\,\,4}&{\,\,2}&{ - 2}\end{array}} \right]$

વ્યાખ્યાયિત નથી

Solution

(c)$\left[ {\begin{array}{*{20}{c}}{\,\,1}\\{ – 1\,}\\{\,\,2}\end{array}} \right]\,\,[\begin{array}{*{20}{c}}2&1&{ – 1}\end{array}] = \left[ {\begin{array}{*{20}{c}}2&1&{ – 1}\\{ – 2\,\,\,}&{ – 1\,\,\,}&{\,\,1}\\4&2&{ – 2}\end{array}} \right]$.

Standard 12

Mathematics

અહી $S =\left\{ m \in Z : A ^{ m ^2}+ A ^{ m }=3 I – A ^{-6}\right\}$ કે જ્યાં $A=\left[\begin{array}{cc}2 & -1 \\ 1 & 0\end{array}\right]$ હોય તો $n(S)$ ની કિમંત મેળવો.

hard

(JEE MAIN-2025)

જો $x\left[\begin{array}{l}2 \\ 3\end{array}\right]+y\left[\begin{array}{l}-1 \\ 1\end{array}\right]=\left[\begin{array}{l}10 \\ 5\end{array}\right],$ હોય, તો $x$ અને $y$ નાં મૂલ્ય શોધો.

easy

જો $A = \left[ {\begin{array}{{20}{c}}1&2&{ – 1}\\3&0&{\,\,2}\\4&5&{\,\,0}\end{array}} \right]$, $B = \left[ {\begin{array}{{20}{c}}1&0&0\\2&1&0\\0&1&3\end{array}} \right],$તો $AB$ = . ..

easy

જો $P\left( \theta \right) = \left[ {\begin{array}{*{20}{c}} 1&{\cot \theta } \\ { – \cot \theta }&1 \end{array}} \right]$ અને $PQ$ = $I$, તો $\left( {\cos e{c^2}\theta } \right)Q$ (કે જ્યાં $I$ એ $2×2$ કક્ષાનો એકમ શ્રેણિક છે .)

normal

$x$ ની કઈ કિંમત માટે $:\left[\begin{array}{lll}1 & 2 & 1\end{array}\right]\left[\begin{array}{lll}1 & 2 & 0 \\ 2 & 0 & 1 \\ 1 & 0 & 2\end{array}\right]\left[\begin{array}{l}0 \\ 2 \\ x\end{array}\right]=\mathrm{O} ?$

medium