Question

$\: if \: x\left[\begin{array}{ccc}2\\3\end{array}\right] + y \left[\begin{array}{ccc} - 1\\1\end{array}\right] = \left[\begin{array}{ccc}10\\5\end{array}\right] \: then \: find \: the \: value \: of \: a \: and \: b$

Answer 1

$\bold{\huge{\underline{Question}}}$



$\: if \: x\left[\begin{array}{ccc}2\\3\end{array}\right] + y \left[\begin{array}{ccc} - 1\\1\end{array}\right] = \left[\begin{array}{ccc}10\\5\end{array}\right] \: then \: find \: the \: value \: of \: a \: and \: b$



$\bold{\huge{\underline{Answer-}}}$



$\bold{\underline{What\:is\:matrices}}$



If the numbers given are arranged in rectangular form by writing some of them as rows in the form of rows, then this system is called matrices



$\bold{\underline{Lets,solve}}$



$\: if \: x\left[\begin{array}{ccc}2\\3\end{array}\right] + y \left[\begin{array}{ccc} - 1\\1\end{array}\right] = \left[\begin{array}{ccc}10\\5\end{array}\right] \: then \: find \: the \: value \: of \: a \: and \: b$



$\left[\begin{array}{ccc}2x\\3x\end{array}\right] \: _{2 \times 1} \: + \left[\begin{array}{ccc} - y\\y\end{array}\right] \: _{2 \times 1} = \left[\begin{array}{ccc}10\\5\end{array}\right] \:$



$\bold {\tiny {When \: adding \: matrix, \: it \: is \: }} \\ \bold{ \tiny{connected \: with \: the \: organ \: of \: the \: }} \\ \bold { \tiny{same \: sequence}}$



$\left[\begin{array}{ccc}2x - y\\3x + y\end{array}\right] \: = \left[\begin{array}{ccc}10\\5\end{array}\right] \: \\ \\ \\ 2x - y = 10.................(1) \\ \underline{3x + y = 5}...................(2) \\ \: \: \: \: \: \: \: \: 5x = 15 \\ \: \: \: \: \: \: \: \: \: \: \: x = 3$



$\tiny{ \bold{now \: putting \: the \: value \: of \: x \: in \: sec \: equation}} \\ \\ 3x + y = 5 \\ \\ 3 \times 3 + y = 5\\ \\ 9 + y = 5 \\ \\ y= \: \: 5 - 9 \\ \\ y = - 4$

Answer 2

HIII.....

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