If Weginbmatrix 2 - 1 e n d b m a t r i x Weginbmatrix - x -1 1-2 - 2endbmatrix - O - where O is null matrix- then the value of X is

Lets take the given matrix equation, nbsp; [ 2 nbsp; amp; 1 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; ...

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Finding Inverse Using Elementary Transformations

If Weginbmatr...

Question

If $[\begin{matrix} 2 & 1 \end{matrix}] [\begin{matrix} x & - 1 - 2 & 2 \end{matrix}] = O,$ where $O$ is null matrix, then the value of $x$ is ________

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[\begin{matrix} a_{n + 1} b_{n + 1} \end{matrix}] = [\begin{matrix} \sqrt{3} + 1 & 1 - \sqrt{3} \sqrt{3} - 1 & 1 + \sqrt{3} \end{matrix}] [\begin{matrix} a_{n} b_{n} \end{matrix}],

n \in N .

a_{1} = b_{1} = 1

a_{22} = 2^{n} .

n

A = ⎡ ⎢ ⎢ ⎣ \begin{matrix} 2 K - 1 & 2 \sqrt{K} & 2 \sqrt{K} 2 \sqrt{K} & 1 & - 2 K - 2 \sqrt{K} & 2 K & - 1 \end{matrix} ⎤ ⎥ ⎥ ⎦ a n d B = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 - K & \sqrt{K - 1} K - 1 & 0 & K - 2 - \sqrt{K - 1} & 2 - K & 0 \end{matrix} ⎤ ⎥ ⎦

Inverse of thefollowing matrix using elementary Row transformations would be

$= ∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 1 0 & 1 & 1 3 & 6 & 1 \end{matrix} ∣ ∣ ∣ ∣$

Given $l = ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠$ Find $l^{2}$

Which of the following would be the Inverse of the matrix A found using Elementary Row Transformations where

A = $∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 1 0 & 1 & 1 3 & 6 & 1 \end{matrix} ∣ ∣ ∣ ∣$

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