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3 years ago

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What is the determinant of an elementary row replacement matrix?

1 answer:

Ludmilka [50]3 years ago

6 0

Answer:

Step-by-step explanation:

Recall that an elementary matrix of a matrix operation is obtained by applying the matrix operation to the identity matrix. In this case, by replacement, it means changing the whole row of a matrix and replacing it with a the same row multiplied by a number k.

In this case, the solution is

What is the determinant of an elementary row replacement matrix?

An elementary n xn row replacement matrix is the same as the n x n identity matrix with Exactly one of the 1's replaced with some number k.This means this is the triangular matrix and so its determinent is product of its diagonal entries. Thus, the determinant of an elementary row replacement matrix is a number. Especifically, the number k we used to replace the one

1. Exactly one,atleast one

2. 1's or 0's

3. Identity matrix,invertible matrix, triangular matrix or zero matrix.

4. Product or sum

5. A number

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Mr. Babe used to work at a local furniture store.

8090 [49]

A. Mr. Babe made a commission of $14.85

B. He makes $15.75 per hour after the raise.

Step-by-step explanation:

A. While he worked there, Mr. Babe earned 3% on how much he sells. If he sold $495 couch, how much commission did he make?

Worth of sold couch = $495

Commission = 3%

Amount of commission = 3% of total worth sold

Amount of commission = $\frac{3}{100}*495$

Amount of commission = $\frac{1485}{100}=\$14.85$

Mr. Babe made a commission of $14.85

B. On top of his commission, Mr. Babe made $15 per hour. He eventually got a raise with an increase of 5% per hour. After the raise, how much did he make per hour?

Amount earned per hour = $15

Increase = 5%

As the increment is on per hour amount, therefore,

Amount of increase = 5% of per hour amount

Amount of increase = $\frac{5}{100}*15=\frac{75}{100} = \$0.75$

New amount per hour = Per hour amount + amount of increase

New amount per hour = 15+0.75 = $15.75

He makes $15.75 per hour after the raise.

Keywords: percent, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

I need help now it's an emergency please help me with this

marshall27 [118]

Answer:

Population of the 48th generation will be 4469.

Step-by-step explanation:

Recursive formula by which the population is increasing,

$L_{n+1}=L_n+95$

L₀ = 4

Common difference 'd' = 95

Recursive formula represents a linear growth in the population.

Therefore, explicit formula for the given sequence will be,

$L_n$ = L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]

Here n = Number of terms

L₄₈ = L₀ + (48 - 1)(95)

= 4 + 4465

= 4469

Therefore, population of the 48th generation will be 4469.

4 0

3 years ago

The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the

strojnjashka [21]

Answer:

8 and 10

Step-by-step explanation:

the ratio of the two numbers is 4:5

So let's take 4 and 5 as our number, we find out that their LCM is 20.

The next pair would be 8 and 10. Their LCM is 40 , so they are the numbers.

4 0

3 years ago

When Groundhog Day is

Scilla [17]

<h3>Answer: 175,000 dollars</h3>

====================================================

Work Shown:

2/3 of 15,000 = (2/3)*15000 = 10,000

This means 10,000 people take the shuttle bus to the park. If each person pays $5 to take the bus, then the city earns 5*10,000 = 50,000 dollar through this option.

The rest pay for parking, so 15,000-10,000 = 5,000 people pay for parking. At $25 each, this amounts to 25*5,000 = 125,000 dollars earned through this option.

Overall, the city earns a total of 50,000+125,000 = 175,000 dollars

Side note: this assumes that the remaining 5,000 people all take separate cars and no single car has more than one person. This is very unrealistic as there are likely to be families or carpools of some kind. So in reality, the answer shown above is an upper estimate of the total revenue.

5 0

3 years ago

Read 2 more answers

Which equation represents -4 in perpendicular line on the graph?

mixer [17]

Answer:

y=-1/4+1

Step-by-step explanation:

3 0

3 years ago