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
sveta [45]
3 years ago
15

Use determinants to find out if the matrix is invertible.

Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0

Since the determinant of the given matrix is zero, the given matrix is not invertible.

You might be interested in
Which ordered pair is a reflection of (3, 7) across the y-axis?
worty [1.4K]

Answer:

(-3, 7)

Step-by-step explanation:

It is like putting a mirror on the y-axis. It is asking what point is the photo negative of the point, like a mirror. You see yourself in the mirror but everything is opposite. Your right hand is your left. So which point is the photo negative of (3, 7)? (-3, 7) Because it is only across the y-axis, the y value stays the same.

3 0
2 years ago
5. Arrival problems usually follow a Poisson distribution, but in this case the time between arrivals of customers at a bank dur
Finger [1]

Answer:

0.5 or 50%

Step-by-step explanation:

For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

\frac{x-0}{120-0}=\frac{x}{120}

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

P(X>60) = 1 -\frac{60}{120}\\P(X>60) = 0.5

The probability is 0.5 or 50%.

5 0
3 years ago
Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 18 had black hair, 22 had brown ha
Taya2010 [7]
Yes. 18/60 = 9/30 = 3/10.
5 0
2 years ago
Find the distance between the following coordinates: I(-a,b), J(a,b)
olchik [2.2K]

Answer:

2a

Step-by-step explanation:

using distance formula:

√(x₂-x₁)² + (y₂-y₁)²

putting values,

√{a-(a)}² + {b-b}² = √ {a+a}² + 0²

= √(2a)² = √4a² = 2a

Hope this helps:)

8 0
3 years ago
Describe a situation that is defined by the linear equation P = 40 + 22t.
sashaice [31]

The situation that is defined by the linear equation P = 40 + 22t is "The initial amount is 40 and the rate of change is 22".

<h3>What is a linear equation?</h3>

Given:

P = 40 + 22t

where,

  • P = total price
  • 40 = initial amount
  • 22 = rate of change
  • t = number of rate of change

So,

if t = 3

P = 40 + 22t

= 40 + 22(3)

= 40 + 66

P = 106

Therefore, the initial amount is 40 and the rate of change is 22 describes the linear equation P = 40 + 22t

Learn more about linear equation:

brainly.com/question/14323743

4 0
2 years ago
Other questions:
  • Solve the inequality (2x-4) + 110 ≤ 120
    10·1 answer
  • Why are expressions 3(y-2)+2(y-2) and 5(y-2) equivalent
    15·1 answer
  • Let ????C be the positively oriented square with vertices (0,0)(0,0), (2,0)(2,0), (2,2)(2,2), (0,2)(0,2). Use Green's Theorem to
    11·1 answer
  • The actual length of side y is 22 cm. Use the scale drawing to find the actual length of side x.
    14·1 answer
  • A ball is dropped from the top of a 83-m-high building. What speed does the ball have in falling 3.6 s?
    12·1 answer
  • Is this right and can I have help with the other ones
    7·1 answer
  • An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, a
    14·1 answer
  • Help me and ily :))))
    10·2 answers
  • What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income
    7·1 answer
  • Write an equation that uses parentheses and has the solution x=4. In the "Show Your Work" box, show how you would check the solu
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!