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
muminat
3 years ago
7

Use determinants to find out if the matrix is invertible.[Start 3 By 3 Matrix 1st Row 1st Column 20 2nd Column 5 3rd Column 3 2n

d Row 1st Column 4 2nd Column negative 15 3rd Column 6 3rd Row 1st Column 0 2nd Column 25 3rd Column negative 9 EndMatrix ]The determinant of the matrix is180180. ​(Simplify your​ answer.)Is the matrix​ invertible? Choose the correct answer below.A.The matrix is not invertible because the determinant is defined.B.The matrix is invertible because the determinant is defined.C.The matrix is not invertible because the determinant is not zero.
Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

B.The matrix is invertible because the determinant is defined.

Step-by-step explanation:

<u>Definition:</u> A matrix is invertible if the determinant is not equal to zero.

Given the matrix:

A=\left(\begin{array}{ccc}20&5&3\\4&-15&6\\0&25&-9\end{array}\right)

The determinant of the matrix:

|A|=20\left|\begin{array}{ccc}-15&6\\25&-9\end{array}\right|-5\left|\begin{array}{ccc}4&6\\0&-9\end{array}\right|+3\left|\begin{array}{ccc}4&-15\\0&25\end{array}\right|

|A|=20(-15*-9-25*6)-5(-9*4-6*0)+3(4*25-0*-15)\\=20(135-150)-5(-36-0)+3(100+0)\\=20(-15)-5(-36)+3(100)\\=-300+180+300\\|A|=180

Since the determinant, |A|\neq 0, the matrix is invertible because the determinant is defined.

You might be interested in
What is the median set of this data set 22 37 49 15 72
Alexandra [31]

Answer:37

Step-by-step explanation:

first you put them in order from least to greatest

which would be 15,22,37,49,72

then the middle number would be your answer hope this helps!

-MalStar

6 0
2 years ago
Read 2 more answers
A baker buys 10 pounds of peaches. She buys a total of 25 peaches. Given that 1 lb = 16 oz, what is the average weight, in ounce
creativ13 [48]

Answer:

the average weight  of one peach is 6.4 ounces

Step-by-step explanation:

10lb of peaches

16 ounces in a pound

10 x 16 = 160 ounces

divide 160 (ounces) by 25 (Peaches)  

= 6.4 ounces per peach

8 0
3 years ago
A bank charges 1.75 of a point for the origination fee on a mortgage of $400,000. What is the origination fee?
Marina86 [1]

Answer:

The origination fee on a mortgage of $400,000 is $7,000.

Step-by-step explanation:

Here, the mortgage value =  $400,000

The origination fee = 1.75%

Now, the  origination fee is calculated on the amount mortgaged.

⇒ 1.75 % of ($400,00) =  Origination Fee

Now, 1.75 % of ($400,00) = \frac{1.75}{100}  \times 400,000 = 7,000

or, 1.75 % of ($400,00)  = $ 7,000

Hence, the origination fee on a mortgage of $400,000 is $7,000.

4 0
3 years ago
Can you please help me evaluate this problems
Fofino [41]

Answer:

16.   137

17.    89

18.   168

19.   50

20.  8

21.   96

22.   39

23.   5

24.   -2

25.   7

Step-by-step explanation:

We have to follow BODMAS which is the acronym for Bracket, Of, Division, Multiplication and Subtraction.

We have to perform our calculations in this order. i.e., Solve the calculations in a bracket first then of and so on.

a = 12; b = 9; c = 4

16. a² + b - c²          = (12)² + 9 - 4²      = 144 + 9 - 16 = 153 - 16      = 137

17. b² + 2a - c²        = 81 + 2(12) - 16    = 81 + 24 - 16 = 105 - 16      = 89

18. 2c(a + b)           = 2 · 4 (12 + 9)      = 8(21)                                  = 168

19. 4a + 2b - c²      = 4(12) + 2(9) - 4²  = (48 + 18 - 16 = 66 - 16       =  50

20. [a² ÷ (4b)] + c  = [12² ÷ 4(9)] + 4 = [144 ÷ 36] + 4 = 4 + 4          = 8

21. c²(2b - a)          = 4²(2(9) - 12) = 4²(18 - 12) = 16(6)                     = 96

22. [bc² + a] ÷ c     = [9(4²) + 12] ÷ 4 = [9(16) + 12] ÷ 4 = 156 ÷ 4     = 39

23. [2c³ - ab] ÷ 4   = [2(4)³ - 12(9)] ÷ 4 = [2(64) - 108] ÷ 4

                              = [128 - 108] ÷ 4 = 20 ÷ 4                                   = 5

24. 2(a - b)² - 5c   = 2(12 - 9)² - 5(4) = 2(3)² - 20 = 18 - 20              = -2

25. [b² - 2c²] ÷ [a + c - b]

                              = [9² - 2(4)²] ÷ [12 + 4 - 9] = [81 - 32] ÷ [16 - 9]

                             = 49 ÷ 7                                                                 = 7

8 0
3 years ago
PLEASE HELP AND EXPLAIN
nadezda [96]

I have never see this in my. Life

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the value of X enter your answer in the box
    13·2 answers
  • Find one value of xxx that is a solution to the equation (2x+3) 2 −6x−9=0
    13·1 answer
  • What do you notice about the angles formed when two parallel lines are cut by transversal
    6·2 answers
  • A square has a side length of (X + 8) feet long. Which expression(s) represent(s) the perimeter of the square, in square feet? S
    7·1 answer
  • PLEASE HELP QUICK
    10·2 answers
  • I need help with this problem please
    14·1 answer
  • A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each
    14·1 answer
  • Hai came someone help I too lazy to do it...
    8·1 answer
  • That picture is another question
    12·1 answer
  • Pls help me, i dont know what i’m doing
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!