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Mathematics

2 answers:

leonid [27]3 years ago

8 0

The answer must be G, after calculating, I got 5.45

Rama09 [41]3 years ago

6 0

Answer:

Step-by-step explanation:

An integer is a whole number. Round each of your answers to the nearest tenth (for the 5's, you round up), and you see that choice G, 5.5, can be divided by 1.1 to equal 5.

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A=(2 3)<br> (-1 4)<br><br> Calculate A^2-6A+11I

disa [49]

Answer:

A² - 6A + 11 I = $\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

Step-by-step explanation:

Given the matrix

$A=\left[\begin{array}{ccc}2&3\\-1&4\end{array}\right]$

Calculate A² - 6A + 11 I

$A^2 = A*A= \left[\begin{array}{ccc}2&3\\-1&4\end{array}\right] *\left[\begin{array}{ccc}2&3\\-1&4\end{array}\right] = \left[\begin{array}{ccc}2*2-3*1&2*3+3*4\\-1*2-4*1&-1*3+4*4\end{array}\right] =\left[\begin{array}{ccc}1&18\\-6&13\end{array}\right]$

$6A=6*\left[\begin{array}{ccc}2&3\\-1&4\end{array}\right] =\left[\begin{array}{ccc}12&18\\-6&24\end{array}\right]$

$11 I = 11 * \left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =\left[\begin{array}{ccc}11&0\\0&11\end{array}\right]$

∴ A² - 6A + 11 I = $\left[\begin{array}{ccc}1&18\\-6&13\end{array}\right] -\left[\begin{array}{ccc}12&18\\-6&24\end{array}\right] +\left[\begin{array}{ccc}11&0\\0&11\end{array}\right] =\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$