All categories

3 years ago

Find -3A+6B Matrices

Mathematics

1 answer:

natima [27]3 years ago

6 0

$\bf A=
\begin{bmatrix}
-3&5&-6\\9&-5&3
\end{bmatrix}\qquad \qquad 
B=
\begin{bmatrix}
-2&6&7\\2&-1&-6
\end{bmatrix}\\\\
-------------------------------\\\\
-3A=
\begin{bmatrix}
9&-15&18\\-27&15&-9
\end{bmatrix}\qquad \qquad 6B=
\begin{bmatrix}
-12&36&42\\12&-6&-36
\end{bmatrix}\\\\
-------------------------------\\\\
-3A+6B\implies 
\begin{bmatrix}
9-12&\qquad -15+36&\qquad 18+42\\
-27+12&\qquad 15-6&\qquad -9-36
\end{bmatrix}
\\\\\\
-3A+6B\implies 
\begin{bmatrix}
-3&21&60\\
-15&9&-45
\end{bmatrix}$

You might be interested in

The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4

Mrac [35]

Answer:

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

$Mean = x1 = \frac{20+24+40+63+76+89}{6}$

$x1 = \frac{312}{6}$

$x1 = 52$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

$20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37$

The deviations will be added then. $Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24$

So the mean absolute deviation for city 1 is 24 ..

For city 2:

$Mean = x2 = \frac{41+50+58+62+72+83}{6}$

$x2 = \frac{366}{6}$

$x2 = 61$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

$41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22$

The deviations will be added then. $Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33$

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

3 0

3 years ago

Read 2 more answers

Tara worked on her science fair project for 4 hours every day for 4 days. Which is the best

nirvana33 [79]

B. 16 because 4 times 4 is 16

7 0

3 years ago

Read 2 more answers

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro

nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

5 0

3 years ago

The hot water faucet takes four minutes to fill the tub, in the cold water faucet takes 3 minutes for the same job. How long to

Sindrei [870]

Answer: 1.12 minutes

7 0

3 years ago

Read 2 more answers

Please help thxxx i will give brainly

solniwko [45]

The answer will be option 2. 10^4.

8 0

2 years ago

Read 2 more answers