Short Answers of Matrices(Mathematics B /4MB1)

 Matrices (2014-2016)

1.   (a) $\left(\begin{array}{cc}10 & -2 x \\ -12 x+3 & -7\end{array}\right)$ (b) $x=-2$
2.   (a) $\left(\begin{array}{cc}-2 & 1 \\-5 & 2\end{array}\right)$ (b) $ x=3, y=7 \quad$
3.   (a) $\left(\begin{array}{cc}x^2 & 0 \\0 & x^2\end{array}\right) \quad$ (b) $ x=3$ (or) $-3 $
4.   (a) $x=2, x=-2 \quad$ (b) $y=8, y=4 \quad$
5.   $\left(\begin{array}{cc}12 & -4 \\ -9 & 3\end{array}\right)$
6.   $\left(\begin{array}{cc}4 & -6 \\ -3 & 7\end{array}\right)$
7.   (i) $8 x-18$ (ii) $x=3$
8.   $\left(\begin{array}{cc}-4 & -10 \\ 9 & 4\end{array}\right)$
9.   8
10.   $x=-2, y=1$
11.   $p=-2, q=4, r=-17 \quad$
12.   (a) $\left(\begin{array}{cc}8 & -5 \\ -7 & -13\end{array}\right)$ (b) $\left(\begin{array}{cc}0 & 13 \\ 5 & -1\end{array}\right) \quad$
13.   $x=\frac{7}{3}, x=-1 \quad$
14.   (a) $\frac{1}{7}\left(\begin{array}{ll}-1 & 2 \\ -5 & 3\end{array}\right)$ (b) $x=2, y=1$
15.   $\left(\begin{array}{cc}6 & -3 \\ -12 & 8\end{array}\right) $
16.   $a=4, b=3, c=36$
17.   $A B=\left(\begin{array}{cc}-8 & -1 \\ 14 & 2\end{array}\right), \lambda=4$
18.   (a) $\left(\begin{array}{cc}{1}&{-19} \\ {-13}{23}\end{array}\right)$ (b) $\left(\begin{array}{ccc}{-7}{1}{-11} \\ {17}{4}{19}\end{array}\right)$
19.   (a) $ x=3,-3 \quad$ (b) $ y=11, y=-1$