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
kobusy [5.1K]
3 years ago
15

Find the inverse of the matrices if they Exist. Use the algorithm introduced in the section. [1 0 -2 -3 1 4 2 -3 4]

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]

Step-by-step explanation:

Given is a matrix 3x3 as

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

|A| =2 hence inverse exists.

Cofactors are 16   20   7

                        6     8    3

                         2     2    1

Hence inverse =

\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]

You might be interested in
The hypotenuse of a right triangle is √18 units. what are the lengths of the legs of the triangle? How many different answers ca
storchak [24]
Since a right triangle has special rules to it such that the hypotenuse squared equals the sum of the squares of the other 2 sides. In other words, if the hypotenuse = c, and the 2 smaller sides are a and b, then:
{c}^{2}  =  {a}^{2}  +  {b}^{2}
Solving for c (hypotenuse), we get:
\sqrt{({c}^{2})} =   \sqrt{({a}^{2}+{b}^{2} )} \\ c =  \sqrt{({a}^{2}+{b}^{2} )}
Therefore c is the root of the square of the other sides. So by having root18, it's like saying:
\sqrt{18} =  \sqrt{({a}^{2}  +  {b}^{2} )}  \\ 18 = {a}^{2}  +  {b}^{2}
Getting rid of the square root, so sides a and b must have their squares total 18:
the only squares < 18 are: 16 (4×4), 9 (3×3), 4 (2×2), and 1 (1×1)
of those above added in any order of two of them, only 16+4
18 = 17 + 1 -  -  >  \sqrt{17}  \: and \: 1 \\ 18 = 16 + 2 -  -  >  \sqrt{16} \: and \:  \sqrt{2}  \\ ... \: 4 \: and \:  \sqrt{2}  \\ 18 = 15 + 3 -  -  >  \sqrt{15} \:  and \:  \sqrt{3}
18 = 14 + 4 -  -  >  \sqrt{14} \:  and \:  \sqrt{4}  \\ ... \sqrt{14} \: and \: 2  \\ 18 = 13 + 5 -  -  >  \sqrt{13} \: and \:  \sqrt{5}   \\ 18 = 12+ 6 -  -  >  \sqrt{12} \:  and \:  \sqrt{6}
18 = 11 + 7 -  -  >  \sqrt{11} \:  and \:  \sqrt{7}  \\ 18 = 10 + 8 -  -  >  \sqrt{10} \:  and \:  \sqrt{8}  \\ ... \sqrt{10} \:  and \: 2 \sqrt{2}  \\ 18 = 9 + 9 -  -  >  \sqrt{9}  = 3 \: and \: 3
I HOPE THAT IS ALONG THE LINE THAT WAS ASKED FOR!!! :-D


7 0
3 years ago
Challenge you buy 3.18 pounds of oranges, 1.15 pounds of grapes, and 2.32 pounds of apples.
11111nata11111 [884]

Answer:

5

Step-by-step explanation:

Oranges: 3.46 $

Grapes: 1.36 $

Apple: They didn't leave you with the cost of the apple so I don't know

Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.

8 0
3 years ago
Elena finds that the area of a house on a scale drawing is 25 square inches the actual area of the house is 2025 ft what is the
ElenaW [278]

Answer:

81 is the scale of drawing.

Step-by-step explanation:

Area of the house in drawing = A =

Let the factor by which scaling is present in the drawing be s.

Area of the house in reality = A' =

8 0
3 years ago
I need help on 1 pleased
nikitadnepr [17]
You add 386 +193 them multiple 4
5 0
3 years ago
Solve for the variable x+9=12
labwork [276]

Answer:

Step-by-step explanation:

subtract 9 from both sides

x=3

4 0
3 years ago
Read 2 more answers
Other questions:
  • 53/200 write the fraction or mixed number as a percent ....can u please explain how to do the problem....
    9·1 answer
  • What is the difference between 4/5 and 1/4
    6·2 answers
  • Determine the number of times the graphs of f(x)=2x^3-4x+1 and g(x)=3x-2 intersect for x between -5 and 5
    5·1 answer
  • Maria looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of on
    9·1 answer
  • Lesson 1 - 1 Exit Ticket 1. Write a function rule that
    7·1 answer
  • I need help I do not understand this..
    11·2 answers
  • Consider the proof.
    15·1 answer
  • 4,3⅔,3⅓,3 common difference
    12·1 answer
  • During a basketball game, James attempted 20 shots and made 7. He says he made 35% of the shots he took. Is James correct? Expla
    10·1 answer
  • Factor P completely P(x) = x^4− 16
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!