यदि $A =\left[\begin{array}{lll}1 & 2 & x \\ 3 & -1 & 2\end{array}\right]$ तथा $B =\left[\begin{array}{c}y \\ x \\ 1\end{array}\right]$ ऐसे हैं कि $AB =\left[\begin{array}{l}6 \\ 8\end{array}\right]$, है, तो

$x$ तथा $y$ ज्ञात कीजिए यदि $2\left[\begin{array}{ll}1 & 3 \\ 0 & x\end{array}\right]+\left[\begin{array}{ll}y & 0 \\ 1 & 2\end{array}\right]=\left[\begin{array}{ll}5 & 6 \\ 1 & 8\end{array}\right]$

यदि $A = \left[ {\begin{array}{*{20}{c}}1&2\\0&1\end{array}} \right],$तो ${A^n} = $

यदि $A$ एक वर्ग आव्यूह इस प्रकार है कि $A ^{2}= A ,$ तो $( I + A )^{3}-7 A$ बराबर है:

यदि $A = \left[ {\begin{array}{*{20}{c}}4&1\\3&2\end{array}} \right]$ और $I = \left[ {\begin{array}{*{20}{c}}1&0\\0&1\end{array}} \right]$, तो ${A^2} – 6A = $