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
Dafna11 [192]
3 years ago
14

Select four statements from the invertible matrix theorem and show that all four statements are true or false

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

A) A is an invertible matrix ( TRUE )

B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )

C ) The equation Ax = 0 has only the trivial solution ( TRUE )

D ) The columns of A form a linearly independent set ( TRUE )

Step-by-step explanation:

Assuming a matrix A

\left[\begin{array}{ccc}1&2&1\\-1&0&3\\4&1&5\end{array}\right]

det A = 1 [ 0 -3 ] +  2 [12 + 5 ]  + 1[-1]

        = -3 + 34 -1 = 30 ≠ 0

THEREFORE  det A = 30 ≠ 0

Attached is the detailed solution of the given statements above

You might be interested in
A graph shows Round Target on the x-axis, from 0 to 10, and Square Target on the y-axis, from 0 to 10. A dashed straight line ha
Ray Of Light [21]

Answer:

Landa on rotundo 5 times ;....

8 0
3 years ago
Read 2 more answers
The Philadelphia Cream Cheese Company produces 42 pounds of cream cheese in each batch. A batch is split up into small portions,
alexandr402 [8]

Answer:

336

Step-by-step explanation:

1/8 pound * by 8 would get you to 1 pound

you have 42 pounds.

8 * 42 = 336

8 0
4 years ago
Read 2 more answers
Show all steps to find the product of -3x^3 + 2x - 4 and x^3 + x - 2.
Lana71 [14]

Answer:

  -3x^6 -x^4 +2x^3 -8x +8

Step-by-step explanation:

Use the distributive property 4 times.

  (-3x^3 + 2x - 4)×(x^3 + x - 2)

  = -3x^3(x^3 +x -2) +2x(x^3 +x -2) -4(x^3 +x -2) . . . . once

  = -3x^6 -3x^4 +6x^3 +2x^4 +2x^2 -4x -4x^3 -4x +8 . . . . 3 more times

  = -3x^6 +x^4(-3+2) +x^3(6 -4) +2x^2 +x(-4 -4) +8 . . . . group like terms

  = -3x^6 -x^4 +2x^3 -8x +8

7 0
3 years ago
What is the volume of the solid?
Evgen [1.6K]

9514 1404 393

Answer:

  (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

Step-by-step explanation:

The area of the hexagon is given by the formula ...

  A = (3/2)√3·s^2 . . . . for side length s

The area of the hexagonal face of this solid is ...

  A = (3/2)√3·(2 ft)^2 = 6√3 ft^2

__

The area of the circular hole in the hexagonal face is ...

  A = πr^2

The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.

  A = π(1 ft)^2 = π ft^2

Then the area of the "solid" part of the face of the figure is ...

  A = (6√3 -π) ft^2

__

The volume is ...

  V = Bh . . . . . where B is the area of the base of the prism, and h is its height

  V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

8 0
3 years ago
Three singers are chosen at random from a group of 5 Chinese, 4 Indians and 2 British singers.
slega [8]
<h2><em>Answer</em><em>:</em></h2><h3><em>1</em><em>4</em><em> </em><em>ways</em><em>.</em></h3>

<em>Please</em><em> </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em><em>.</em><em>.</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

6 0
3 years ago
Other questions:
  • Leah is buying curtains for her bathroom window. She wants the curtains to hang from the top of the window to the floor. The win
    8·2 answers
  • WILL GIVE BRAINLIEST!!!
    10·1 answer
  • Ms.peters said that 5/8 of her dance students prefer ballet. What percebt is equivalent to 5/8
    14·2 answers
  • Hi please help me I'm not that good in math sooooo ya
    10·1 answer
  • r cell phone company started a rewards club. For every three texts sent, you get 15 points. You need 1800 points for a prize. Ho
    10·1 answer
  • I need help with all the parts
    13·1 answer
  • THIS I SUPPOSED TO BE EASY BUT I CANT GET IT GIVING BRAINLETS
    11·1 answer
  • 3x + 2y = 9 x - 4y = 4
    5·1 answer
  • Consider the right angle shown below
    6·1 answer
  • A. 23,320ft<br>b. 5,830 ft<br>c. 11 660 ft<br>d. 18,000 ft​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!