All categories

2 years ago

Find the determinant of the following matrix. [1 -2] [3 4]

Mathematics

1 answer:

Andrew [12]2 years ago

8 0

Answer:

Step-by-step explanation:

[1 -2]

[3 4]

We can obtain the determinant of the above matrix by doing the following:

Determinant =(1 × 4) – (3 × –2)

Determinant = 4 – – 6

Determinant = 4 + 6

Determinant = 10

Thus, the determinant of the above matrix is 10

You might be interested in

ANSWER PLZ QUICK AND FAST WHAT THE ANSWER

In-s [12.5K]

Hi there!

Let's solve this inequality step by step!
$- 6r + 2r > 3 - 3r$

First collect the terms on the left.
$- 4r > 3 - 3r$

In order to solve, we must isolate r. Therefore we need to bring them all to the left. Our next step will therefore be to add 3r to both sides of the equation.
$- r > 3$

Finally we need to divide both sides of the equation by -1. Because we divide by a negative, the sign flips.
$r < - 3$

Hence, the answer is r < -3.
~ Hope this helps you!

5 0

3 years ago

A) The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over times, x measured in

Brums [2.3K]

From the given linear function, we have that:

A. The function is constant on the following interval: B.2 ≤ x ≤ 5.

B. The function is increasing on the following interval: A.0 ≤ x ≤ 2.

C. The function is decreasing the fastest on the following interval: D.5 ≤ x ≤ 6.

D. The justification for the previous item is: D.5 ≤ x ≤ 6 is the interval where the slope is the steepest.

<h3>When a function is constant?</h3>

A function is constant when it's graph is an horizontal line, hence in this problem the function is constant for two intervals.

2 ≤ x ≤ 5.

10 ≤ x ≤ ∞.

Hence, in item A, option B is correct.

<h3>When a function is increasing?</h3>

A function is increasing on the intervals that y is increasing while x increases, that is, the function is moving right and up.

Hence, in item B, option A is correct.

<h3>When a function is decreasing?</h3>

A function is decreasing on the intervals that y is decreasing while x increases, that is, the function is moving right and down.

The decrease is faster when the division of the change in the output by the change in the input has the lower value(greater absolute negative).

Hence:

In item 3, option D is correct.

In item 4, option D is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0

1 year ago

Alec types

erica [24]

Answer:

He can type 4.5/5 of a paragraph

Step-by-step explanation: Because there are 60 seconds in a mintune right. 2/3 of an hour=40 seconds. 1.5/5=20 seconds and 60 seconds=4.5/5

7 0

3 years ago

If f(x)=x-6 and g(x)=x1/2(x+3), find g(x) times f(x)

Elden [556K]

To solve this problem you must apply the proccedure shown below:
1. You have the following functions given in the problem above:
$f(x)=x-6 
$ and $g(x)=x1/2(x+3)=x(x+3)/2$ <span>
2. You have that g(x) times f(x) can be written as g(x)*f(x). Therefore, you must multiply f(x) * g(x), as following:
</span> $g(x)*f(x)=(x-6)*x(x+3)/2$ <span>
3. Applying the distributive property, you have:
</span> $g(x)*f(x)=( x^{3} + 3x^2 - 6x^{2} -18x)/2$
$g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2$
The answer is: $g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2$

5 0

3 years ago

The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you

Tju [1.3M]

Answer:

i- umm- its, well i got two answers n this question as well, but umm, i think its

1 5/12 maybe

Step-by-step explanation:

5 0

3 years ago

Find the determinant of the following matrix. [1 -2] [3 4]​

Find the determinant of the following matrix. [1 -2] [3 4]