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Amiraneli [1.4K]
1 year ago
9

Find the -2 -4 -3 -1 -9-8 determinant OF -15 - 5 6

Mathematics
1 answer:
sesenic [268]1 year ago
5 0

Determinants are defined only for square matrices, so I assume you are given the 3×3 matrix

A = \begin{bmatrix}-2 & -4 & -3 \\ -1 & -9 & -8 \\ -15 & -5 & 6 \end{bmatrix}

Let's compute the determinant by taking the cofactor expansion along the first column:

\det A = -2 \det\begin{bmatrix}-9 & -8 \\ -5 & 6\end{bmatrix} + \det\begin{bmatrix}-4 & -3 \\ -5 & 6\end{bmatrix} - 15 \det \begin{bmatrix}-4 & -3 \\ -9 & -8\end{bmatrix}

\det A = -2 ((-9)\times6-(-8)\times(-5)) + ((-4)\times6 - (-3)\times(-5)) \\ ~~~~~~~~~~~~~~~- 15 ((-4)\times(-8)-(-3)\times(-9))

\det A = -2(-54-40) + (-24 - 15) - 15 (32 - 27)

\det A = \boxed{74}

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Answer: X= 3.75

HOPE THIS HELPS:)))))

Step-by-step explanation:

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2 years ago
7. Identify a horizontal or vertical stretch or compression of the function f(x)=√x by observing the equation of the function g(
Effectus [21]

It is a vertical stretch.

<h3>What is functions?</h3>

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

To solve this problem you must apply the procedure shown below:

1. You have the following parent function given in the problem above:

f(x) = √x

2. And you have the function g(x) = √3x

3. By definition, if you have the function y = ax and |a| > 1 it is a vertical stretch.

4. Therefore, you have that:

|a| = √3

√3 > 1

Therefore the answer is: It is a vertical stretch.

to learn more about functions refer to:

brainly.com/question/11624077

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6 0
2 years ago
Suppose a city with population of 400,000 has been growing at a rate of ​5% per year. If this rate​ continues, find the populati
kakasveta [241]

The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.

Using a t value of 10 years

Answer:

651558

Step-by-step explanation:

Given that:

Initial population, P0= 400,000

Growth rate, r = 5%

Using the relation :

P(t) = P0 * (1 + r)^t

t = number of years = 10

P(10) = 400000 * (1 + 0.05)^10

P(10) = 400000 * (1.05)^10

P(10) = 400000 * 1.628894626777

P(10) = 651557.8507

= 651558 nearest whole number.

Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.

7 0
2 years ago
In the expression 4+3x+5y what is the coefficient of x
Charra [1.4K]
The coefficient of x is 3.
because this is what x is being multiplied by
4 0
3 years ago
Read 2 more answers
PLEASE HELP ME FIND THE ANSWER
n200080 [17]
B is true.
I think E is also true.
4 0
3 years ago
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