(c) Is it possible for an n × n matrix A to satisfy A3 = In without A being invertible? Explain

Answers

Answer 1

Answer:

If $A^3=I$ , then $A^3=AA^2=I$ which means $A$ and $A^2$ must be inverses of one another, so $(A^2)^(-1)=A$ and $A^(-1)=A^2$ , so $A$ must be invertible.

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Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy?
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The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2

Answers

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

The figure shows two right triangles, each with its longest side on the same line.What is the length of XY?

Answers

The length of XY is 6 units by graphical units.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

We have two triangles in which

triangle RST have hypotenuse is 4 unit.

whereas the triangle XYZ have hypotenuse is 6 unit.

so, longest side is 6 units.

Now, the length of XY is 6 units by graphical units.

Learn more about graph here:

brainly.com/question/17267403

#SPJ5

Answer:

Step-by-step explanation:

since this is on a graph, and perfectly lined up, you can just count the squares on the length of XY

A battery with 20 percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% , percent of its capacity is charged.

Answers

Answer:

y = 5x + 20

Step-by-step explanation:

The initial percent is 20.

Every minute, the percent goes up 5%, so the slope is 5.

So the equation of the line is y = 5x + 20.

Could you please help with this equation:Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)

Answers

Answer: 10x + 14y

Step-by-step explanation: just simplify it

Answer:

10x+14y

Step-by-step explanation:

Difference between the twice of a number and 50 is 85

Answers

Step-by-step explanation:

A. A business is attempting to find the best small town in the United States in which to relocate. As part of the investigation, the elevations of all small towns in the United States are researched. Some towns are located high in the Rockies with elevations over 8,000 feet. There are even some towns located in the south central valley of California with elevations below sea level. These elevations can best be described as which level of datab. The unemployment rate is often used as an indicator of a community’s economic vitality. An unemployment rate is best described as what level of measurement?

Answers

Answer:

a. As given in the question, some towns are located high in the Rockies above the sea level and some are located in the south-central valley of the California below the sea level as well. The meaningful zero does not exists here and the variable of interest is continuous(quantitative). Hence, the elevations can be best described as an interval data.

b. The unemployment rate can not be negative. Therefore, the meaningful zero exist here. Hence, the unemployment rate can be best described as ratio data.

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A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk? To answer the question, you need to write a conversion factor to convert: The correct conversion factor has the inches in the: The correct conversion factor has the feet in the: . The tortoise can walk feet per second:

Percent * $3.32 = $0.32 + $0.184