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If a = [ 2 4 4 3 ] , X = ( N 1 ) , B = ( 8 11 ) and Ax = B, Then Find N. - Mathematics

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Question

If \[A = \begin{bmatrix}2 & 4 \\ 4 & 3\end{bmatrix}, X = \binom{n}{1}, B = \binom{ 8}{11}\]  and AX = B, then find n.

Solution

Here,
\[\begin{bmatrix}2 & 4 \\ 4 & 3\end{bmatrix}\binom{n}{1} = \binom{8}{11}\]
\[ \Rightarrow \binom{2n + 4}{4n + 3} = \binom{8}{11}\]
\[ \Rightarrow 2n + 4 = 8 \]
\[ \Rightarrow 2n = 4\]
\[ \Rightarrow n = 2\]

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Chapter 8: Solution of Simultaneous Linear Equations - Exercise 8.3 [Page 21]

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RD Sharma Mathematics [English] Class 12
Chapter 8 Solution of Simultaneous Linear Equations
Exercise 8.3 | Q 6 | Page 21

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