Answer: a) AB = ![\left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-14%2626%5C%5C-11%2622%5Cend%7Barray%7D%5Cright%5D)
; b) ![\left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-5%5C%5C13%269%5Cend%7Barray%7D%5Cright%5D)
; c) No, they are different; d) No, they are never the same;
Step-by-step explanation:
a) A = ![\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%264%5C%5C1%263%5Cend%7Barray%7D%5Cright%5D)
, B = ![\left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%261%5C%5C-3%267%5Cend%7Barray%7D%5Cright%5D)
. This multiplication is possible, because matrix A has 2 columns and matrix B has 2 rows. When those value are equal, the multiplication is possible.
AB = . =
b) BA = . =
c) As, we can see, parts a and b are differents.
d) With matrices, multiplication is not commutative, which means AB≠BA
Answer:
The lateral area of the pipe is 942 sq ft.
Step-by-step explanation:
A pipe can be modeled as a cylinder prism.
The lateral area of a cylinder prism can be expressed as the product of the length by the perimeter of the section.
We start by calculating this perimeter.
As the diameter is 25 ft, the perimeter of the section can be expressed as:
Then, to know the lateral surface we multiply this perimeter by the length of the pipe (12 ft):
The lateral area of the pipe is 942 sq ft.
The mean is the average of the numbers: a calculated "central" value of a set of numbers.
Therefore: If the amount spent on books per month by all her classmates is leveled that amount would be $30
To calculate it: add up all the numbers, then divide by how many numbers there are
Answer:
2/5 = 6/15
1/3 = 5/15
Step-by-step explanation:
LCD of 5 and 3 is 15.
So 2/5 = 2*3/15 = 6/15
and
1/3 = 5*1 / 15 = 5/15
The total surface area of a cylinder with 5cm height and radius 2cm is :
28π cm²
<h3>What is cylinder?</h3>
One of the most fundamental curvilinear geometric shapes, the cylinder has historically been thought of as a three-dimensional solid. Geometrically speaking, it has been referred to as a circle-based prism.
Analysis:
The total surface area of a cylinder is : 2πrh + 2π
where radius = 2cm , Hight = 5cm
Total surface area = 2 x π x 2 x 5 + 2 x π x 2 x 2
= 20π + 8π = 28π cm2
In conclusion, the total surface area of the cylinder is 28π cm2.
To know more about cylinder visit:
brainly.com/question/27795300
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