Mathematics: Which equation can be used to solve

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Which equation can be used to solve

Ответ:

erock5528

12.01.2022

The Answer is last option

$\left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right]=\left[\begin{array}{ccc}0.5&-3\\0&1\\\end{array}\right]\left[\begin{array}{ccc}2\\-3\\\end{array}\right]$

Step-by-step explanation:

The Answer is last option

$\left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right]=\left[\begin{array}{ccc}0.5&-3\\0&1\\\end{array}\right]\left[\begin{array}{ccc}2\\-3\\\end{array}\right]$

Write The Given Matrix in

AX= B

Now Pre multiplying by $A^{-1}$ we get

$A^{-1}AX=A^{-1}B\\ \\We\ know\\A^{-1}A = I\ and\ IX = X\\\\\therefore X = A^{-1}B\\\\\therefore \left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right]=\left[\begin{array}{ccc}0.5&-3\\0&1\\\end{array}\right]\left[\begin{array}{ccc}2\\-3\\\end{array}\right]$

Here,

$A^{-1}=\left[\begin{array}{ccc}0.5&-3\\0&1\end{array}\right]\\\\X=\left[\begin{array}{ccc}x_{1}\\ x_{2}\end{array}\right] \\\\B=\left[\begin{array}{ccc}2\\-3\end{array}\right]$

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Which equation can be used to solve

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