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
bija089 [108]
3 years ago
12

What is the determinant of the coefficient matrix of the system –11 –2 0 55

Mathematics
2 answers:
Alina [70]3 years ago
7 0

The first two rows of coefficients are identical, so by inspection, the determinant is 0.

Mademuasel [1]3 years ago
7 0

Answer:

The determinant of  coefficient  matrix of the given system is 0.

Step-by-step explanation:

Given system of equation

-x-y-z=-3

-x-y-z=8

3x+2y+z=0

The coefficient matrix of the system

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

Let A=\left[\begin{array}{ccc}-1&-1&-1\\-1&-1&-1\\3&2&1\end{array}\right]

X=\left[\begin{array}{}x&y&z\end{array}\right]

B=\left[\begin{array}-3 &8&0\end{array}\right]

Therefore , we can AX=B

\left[\begin{array}{ccc}-1&-1&-1\\1&-1&-1\\3&2&1\end{array}\right]\left[\begin{array}{}x&y&z \end{array}\right]=\left[\begin{array}{}-3&8&0\end{array}\right]

The determinant of  coefficient matrix of the given system is given by

\begin{vmatrix}-1&-1&-1\\-1&-1&-1\\3&2&1\end{vmatrix}

By using determinant property : when two rowsor two columns are identical then the value of determinant is equal to zero .

\therefore \begin{vmatrix}A\end{vmatrix}=0

You might be interested in
Does the table represent an exponential function? Explain.
Ede4ka [16]

Answer:

No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.

Step-by-step explanation:

We have a set of ordered pairs of the form (x, y)

If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.

This means that:

\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b

This is: y_2=by_1y2=by1

Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}

Observe that:

\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31

Then the values of y are not multiplied by a constant amount "b"

5 0
3 years ago
Can someone help me on Domain and Range
egoroff_w [7]

Answer:

Its the second option.

Step-by-step explanation:

The domain and range are just the x (domain) and y (range) values

8 0
3 years ago
Rationalize the denominator 11/√8x
Nataliya [291]

Answer:

\frac{11 \times  \sqrt{8} x}{8x ^{2}}

Step-by-step explanation:

\frac{11 \times  \sqrt{8}x }{ \sqrt{8}x \times  \sqrt{8}  x}

\frac{11 \times  \sqrt{8} x}{8x {}^{2} }

3 0
3 years ago
PLEASE HELP ME SOLVE THIS!!!​
n200080 [17]

C M < 13 You can check again

7 0
2 years ago
Read 2 more answers
Diane constructed a figure made up of two angles that together would form a right angle. which two angles could be put together
BartSMP [9]

Answer:

Step-by-step explanation:

Ff

6 0
3 years ago
Read 2 more answers
Other questions:
  • Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. As
    8·1 answer
  • What is 1 divided by 0.25 while showing how I got the answer
    10·2 answers
  • The librarian needs to return 24 books to the shelf. In one hour she finished 3/4 of the job. How many books has she
    14·2 answers
  • Point A, located at (-11, - 7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected
    14·1 answer
  • Which of these tables represents a linear function?
    9·2 answers
  • The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
    13·1 answer
  • PLS HELPPPPP DUE TODAYYYY
    9·1 answer
  • 4 3 22 6 19 26 5 21 decide which number are factors of 17 and arrange them in their factor pairs.
    14·1 answer
  • If you deposit $50 in checks in your account with $100 cash amount, what is your total deposit?
    11·1 answer
  • What number do i multiply π(pi)^2 by to end up with a number with no decimal
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!