1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lubov Fominskaja [6]
3 years ago
9

. Determine whether the vectors (5, −2, 4), (2, −3, 5), and (4, 5−

Mathematics
2 answers:
Tems11 [23]3 years ago
5 0

Answer: The vectors are linearly dependent.

The solution is in the attachment

jekas [21]3 years ago
4 0

Answer:

The vectors are linearly independent

Step-by-step explanation:

These vectors can be written in a matrix form as:

\left[\begin{array}{ccc}5&-2&4\\2&-3&5\\4&5&-7\end{array}\right]

and if the matrix is invertible, the system has a unique solution,  and hence, the vectors that form the matrix are linearly independent.

A matrix is invertible if it's determinant is different from zero.

Suppose A is a matrix, A is invertible if |A| ≠ 0

\left|\begin{array}{ccc}5&-2&4\\2&-3&5\\4&5&-7\end{array}\right| \\

= 5\left|\begin{array}{cc}-3&5\\5&-7\end{array}\right| - (-2)\left|\begin{array}{cc}2&5\\4&-7\end{array}\right| + 4\left|\begin{array}{cc}2&-3\\4&5\end{array}\right|

= = 5[-7(-3) - 5(5)] + 2[2(-7) - 4(5)] + 4[5(2) - 4(-3)]\\= 5(21 - 25) + 2( -14 -20) + 4(10 + 12)\\= 5(-4) + 2(-34) + 4(21)\\= -20 - 68 + 84\\= -4\\

Since this is not zero, we conclude that the vectors are linearly independent.

You might be interested in
HELP IM DOIN A MATH TEST AND IM STUCK!!!!! Tim knows the volume In bass area of a wooden chest that is in the shape of a rectang
ki77a [65]

Answer:

Height is 1 1/24 unit.  

Step-by-step explanation:

Given:

volume = 5/24 unit³

base area = 1/5 unit²

Rectangular prism:

volume = length * width * height

base area = length * width

Volume = base area * height

height = volume / base area

h = 5/24 ÷ 1/5

h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit

(hope this helps can i plz have brainlist :D hehe)

7 0
2 years ago
Put the expression (48c)^3/4 in radical form hurry plz
Svet_ta [14]
Remember that if something is raised to a fraction exponent, the denominator of the fraction is the radical and the numerator stays a power. So it becomes:

fourth root of (48c)^3

Hope this helps
8 0
3 years ago
the value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai
xenn [34]
We have to find the values of m and n. We know that the value of n is 5 times as much as the value of m : n = 5 m. Also n is 36 more than the value of m : n = m + 36. This is a system of equations. Of we substitute n = 5 m into the second equation: 5 m = m + 36; 5 m - m = 36; 4 m = 36; m = 36 : 4; m = 9. Finally: n = 5 * 9 ; n = 45. Answer: The values are n = 45 and m = 9.
5 0
3 years ago
It takes Emily 9 minutes to bicycle 3/10 of the way to school. How many minutes does it
xeze [42]

Answer:30

Step-by-step explanation:

3/10x=90

Use reciprocal to multiple both sides

x=answer

6 0
3 years ago
Find the area of the trapezoid by decomposing it into other shapes. A) 48 cm2 B) 55 cm2 C) 66 cm2 D) 96 cm2
snow_tiger [21]

Answer:

The answer is B.

Step-by-step explanation:

You have to use area of trapezoid formula, A = 1/2×(a+b)×h where a, b are the side lengths and h is height :

area =  \frac{1}{2}  \times (a + b) \times h

let \: a = 6,b = 16,h = 5

area =  \frac{1}{2}  \times (6 + 16) \times 5

area =  \frac{1}{2}  \times 22 \times 5

area = 11 \times 5

area = 55 \:  {cm}^{2}

8 0
3 years ago
Other questions:
  • Robby is a cashier at the supermarket. During a 9-hour shift, he checks out 108 customers. If he checks out the same number of c
    11·2 answers
  • N/-2 &gt; 4 <br><br> How do you Solve it
    10·1 answer
  • Thirty two divided by the opposite of 4
    15·2 answers
  • Plz answer and write the question number and the answer next to it plzzzz
    14·2 answers
  • Of what numbers does the binary system consist of
    15·2 answers
  • 3)
    7·2 answers
  • 21-35a<br>Factor the following expression​
    7·1 answer
  • Can someone please help me??
    12·2 answers
  • If Lady Gaga performed as many songs as Madonna per capita, how many would you expect Lady Gaga to sing?
    7·2 answers
  • Shelly paid $2.00 per kg for the item that weighs 25% of the total weight of the 4 items calculate the amount of money she paid
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!