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
Ede4ka [16]
3 years ago
8

What is the determinant of the coefficient matrix of this system? 4x-3y=-8 8x-3y=12

Mathematics
1 answer:
gladu [14]3 years ago
8 0

The coefficient matrix is build with its rows representing each equation, and its columns representing each variable.

So, you may write the matrix as

\left[\begin{array}{cc}\text{x-coefficient, 1st equation}&\text{y-coefficient, 1st equation}\\\text{x-coefficient, 2nd equation}&\text{y-coefficient, 2nd equation} \end{array}\right]

which means

\left[\begin{array}{cc}4&-3\\8&-3\end{array}\right]

The determinant is computed subtracting diagonals:

\left | \left[ \begin{array}{cc}a&b\\c&d\end{array}\right]\right | = ad-bc

So, we have

\left | \left[\begin{array}{cc}4&-3\\8&-3\end{array}\right] \right | = 4(-3) - 8(-3) = -4(-3) = 12

You might be interested in
What is the effective interest rate on an account that earns 5.5% compounded monthly?
nataly862011 [7]

Answer:

.46%

Step-by-step explanation:

.055/12= .00458= .46%

4 0
2 years ago
What is the next number in the sequence 9....3....1....1/3?
VladimirAG [237]
9 divided by 3 = 3   3divided by 3 = 1   1 divided by 3 = 1/3  so 1/3 divided by 3=1/9
7 0
3 years ago
Read 2 more answers
Can someone help me on this
Ierofanga [76]

1/2 of angle D is given as 32 degrees.

The 3 inside angles need to add up to 180 degrees.

Angle B is a right angle, which is 90.

Angle C = 180 - 90 - 32 = 58 degrees.

8 0
3 years ago
Simplify the expression
8_murik_8 [283]
(√3 + 1)/8 the answer to the question
7 0
3 years ago
Read 2 more answers
Solve for x: -1/2(-4+2x) = -6 - 4x
antiseptic1488 [7]
-\dfrac{1}{2}(-4+2x)=-6-4x\ \ \ \ \ |multiply\ both\ sides\ by\ (-2)\\\\-4+2x=12+8x\ \ \ \ |add\ 4\ to\ both\ sides\\\\2x=16+8x\ \ \ \ \ |subtract\ 8x\ from\ both\ sides\\\\-6x=16\ \ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\x=-\dfrac{16}{6}\\\\x=-\dfrac{8}{3}\\\\\boxed{x=-2\frac{2}{3}}
5 0
3 years ago
Other questions:
  • Write and solve an equation to find the unknown side length x (in inches). Perimeter =24.2 in.
    14·1 answer
  • Harper is buying bulk spices for her restaurant. She is shopping for the best deal. Drag the spices in order from the least to t
    7·2 answers
  • X+2/3=9/10 what does x equal
    11·1 answer
  • Kathleen made 29, 38, 45, 42, and 36 points on her assignments.
    11·1 answer
  • What is the result when the number 64 is decreased by 4.1%? Round your answer to the nearest tenth.
    13·2 answers
  • Please help i have no clue what to do
    11·1 answer
  • Solved! ;) Thank you.
    6·1 answer
  • Alba ran 21 miles in three hours what was her average speed
    14·2 answers
  • Write a numerical expression for the calculation.<br> Add 82​, 155​, and 11​, and then divide by 31.
    13·1 answer
  • Which table represents a nonlinear function?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!