As the two matrices are equal, their corresponding elements are also equal. Comparing the corresponding elements, we get:
$a-b=-1$ ........... $(1)$
$2 a-b=0$ ........... $(2)$
$2 a+c=5$ ........... $(3)$
$3 c+d=13$ ........... $(4)$
From $( 2 )$, we have :
$b=2 a$
Then, from $( 1 )$, we have :
$a-2a=-1$
$\Rightarrow$ $a=1$
$\Rightarrow$ $b=2$
Now, from $(3),$ we have :
$2 \times 1+c=5$
$\Rightarrow $ $c=3$
From $(4)$ we have :
$ 3 \times 3+d=13 $
$ \Rightarrow $ $9+d=13 \Rightarrow d=4$
$\therefore $ $a=1$, $b=2 $, $c=3$, and $d=4 $
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.