Values of a, ,b,, c, and d from following equation: $left[begin{array}{cc} 2 a+b & a-2 b 5 c-d &

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3 and 4 .Determinants and Matrices

easy

Find the values of $a, \,b,\, c,$ and $d$ from the following equation:

$\left[\begin{array}{cc}
2 a+b & a-2 b \\
5 c-d & 4 c+3 d
\end{array}\right]=\left[\begin{array}{cc}
4 & -3 \\
11 & 24
\end{array}\right]$

A

$a=1$, $b=2$, $c=3$, $d=4$

B

$a=1$, $b=4$, $c=3$, $d=4$

C

$a=1$, $b=2$, $c=5$, $d=4$

D

$a=8$, $b=2$, $c=3$, $d=4$

Solution

Solution By equality of two matrices, equating the corresponding elements, we get

$\begin{array}{ll}
2 a+b=4 & 5 c-d=11 \\
a-2 b=-3 & 4 c+3 d=24
\end{array}$

Solving these equations, we get

$a=1$, $b=2$, $c=3$ and $d=4$

Standard 12

Mathematics

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