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Ronch [10]
2 years ago
14

Pls help meeeee

Mathematics
2 answers:
Rashid [163]2 years ago
8 0

Answer:

6 gallons of gas

Step-by-step explanation:

20.00 - 2.12 = 17.88

17.88 divided by 2.98 equals 6

Tema [17]2 years ago
8 0
6 gallons of gas is what the customer bought
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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]

8 0
3 years ago
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