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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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1. Identify the vertex and the y-intercept of the graph of the function y=-2(x+ 2)+2.

KATRIN_1 [288]

Answer:

Please let me know if your quadratic is $y=-2(x+2)^2+2$ .

And if so your vertex is (-2,2) and your y-intercept is (0,-6)

Step-by-step explanation:

It says vertex so I'm thinking you meant $y=-2(x+2)^2+2$ . Please correct me if I'm wrong.

The vertex form of a quadratic is $y=a(x-h)^2+k$ . It is called that because it tells you the vertex (h,k).

So if you compare the two forms you should see -h=2 while k=2.

-h=2 implies h=-2.

So the vertex is (h,k)=(-2,2).

To find the y-intercept, set x=0 and find y.

$y=-2(0+2)^2+2$

$y=-2(2)^2+2$

$y=-2(4)+2$

$y=-8+2$

$y=-6$

So the y-intercept is (0,-6).

7 0

3 years ago

Planet Fitness charges a one-time application fee of $50 plus $30 per session for a

Vsevolod [243]

Answer:

When the number of sessions is equal to 10, the total cost is the same in the two plans

Step-by-step explanation:

Let

y ---> the total cost

x ---> the number of sessions

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Planet Fitness

we have

The slope is equal to

$m=\$30\ per\ session$

The y-intercept or initial value is equal to

$b=\$50$

substitute

$y=30x+50$ ----> equation A

Gold's Gym

we have

The slope is equal to

$m=\$10\ per\ session$

The y-intercept or initial value is equal to

$b=\$250$

substitute

$y=10x+250$ ----> equation B

Equate equation A and equation B

$30x+50=10x+250$

solve for x

$30x-10x=250-50\\20x=200\\x=10$

therefore

When the number of sessions is equal to 10, the total cost is the same in the two plans

6 0

3 years ago

Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as the square of the distanc

iren [92.7K]

Answer:

77.2 milliroentgens per hour

Step-by-step explanation:

The first step is to find the constant of proportionality

I ∝ 1/d²

I = k/d²

62.5 = k/(3)²

k = 562.5

The second step is to calculate the intensity at 2.7 meters:

I = 562.5/d²

I = 562.5/(2.7)²

I = 77.2 milliroentgens per hour

4 0

3 years ago

PLEASE HELP WHO EVER GET THIS RIGHT WILL MAKE U BRAINIEST

MrMuchimi

Answer: 150

Step-by-step explanation:

You got it right, just divide 300 by 2 :)

6 0

3 years ago

Read 2 more answers

Can you guys please help me? This is due tomorrow, thanks so much

wariber [46]

Answer:

<em>Graph given in </em><em>Question 18</em><em> is </em><em>a function</em><em> and the graph given in </em><em>Question 19</em><em> is </em><em>not a function</em><em>. Just check the </em><em>attached figure.</em>

Step-by-step explanation:

From the given graph of a relation, it is easy to establish whether the given relation is a function or not. In order to determine the nature of the relation, there is vertical line test. This test can be done by drawing any vertical line crossing the graph of the given relation. This vertical line has a constant x -a line having constant x.

If this vertical line crosses the graph multiple times, then we can determine that the relation would not be a function. It means the graph contains multiple values of y for a single value of x. This violates the condition of a relation to be a function. Hence, the relation would not be a graph.

But, if the vertical line crosses the graph only one time, then we can determine that the given relation would be a function. It means the graph does not contain multiple values of y for a single value of x.

<em>Solution of the Graph given in Question 18:</em>

From the given graph of a relation, that sounds like a circle. It means the relation shown in current graph is not a function. The reason is simple. If we draw a vertical line, then the line would cross the graph twice. Hence, the given graph of a relation is not a function.

Just check that the value of x=1 will have two y values i.e (1, 5) and (1, -1). Also, at origin, for a value of x = 0, there are multiple values of y. Hence, the graph is not a not a function, but just a relation. Just check the <em>attached figure.</em>

<em>Solution of the Graph given in Question 19:</em>

From the given graph of a relation, it is clear that the graph is a function. The reason is simple. If we draw a vertical line, then the line would cross the graph only one time. Hence, the given graph of a relation is a function.

Just check that the points (0, 0), (2, 3), (-1, 3), (-3, 3) and (1, -3) all make a function as each input value yields an exactly one output function. Hence, the given graph of the relation is a graph. Just check the <em>attached figure.</em>

<em>Keywords: function, relation, ordered pairs, graph, vertical line test</em>

<em>Learn about the graph functions from brainly.com/question/4708956</em>

<em>#learnwithBrainly</em>

4 0

3 years ago