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
Ksivusya [100]
3 years ago
11

Inverse this matrix

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0
In order for the inverse to exist, the matrix cannot be singular, so we need to first examine the conditions for existence of the inverse.

Compute the determinant. The easiest way might be a cofactor expansion along either the first row or third column; I'll do the first.

\begin{vmatrix}x&0&0\\0&1&0\\w&0&x\end{vmatrix}=x\begin{vmatrix}1&0\\0&x\end{vmatrix}=x^2

The matrix is then singular whenever x\neq0.

With this in mind, compute the inverse.

\mathbf A=\begin{bmatrix}x&0&0\\0&1&0\\w&0&x\end{bmatrix}\implies\mathbf A^{-1}=\dfrac1{x^2}\begin{bmatrix}a&0&-w\\0&-x^2&0\\0&0&x\end{bmatrix}=\begin{bmatrix}\frac a{x^2}&0&-\frac w{x^2}\\0&-1&0\\0&0&\frac1x\end{bmatrix}
You might be interested in
Y=Mx+b, where m= the slope and b=the y intercept Y=2x-4,slope=2andyintercept=
Dominik [7]

Answer:

slope =2

y intercept = (0,-4)

Step-by-step explanation:

y = 2x - 4

Since this is in the form y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is -4

slope =2

y intercept = (0,-4)

7 0
2 years ago
Brad earns a base monthly salary of $2,200 plus $1.1% commission on his total sales. Let s be Brad's total sales.
Lelechka [254]
I think it’s like that but u shld wait for someone else to answer, cuz i’m not sure if im correct cuz the ans is so big

3 0
2 years ago
Does anyone know how to solve these
masha68 [24]

Answer:

e=49

f=131

d=90

Step-by-step explanation:

3 0
3 years ago
Two Physics classes at Jefferson High School took the same quiz. Mr. Spears had 20 students in his class with a mean score of 80
andriy [413]

Answer:

The mean score for all students on the quiz was 86.

Step-by-step explanation:

This question is solved by a weighed average.

To find the weighed average, we add the values multiplied by their weight, and after that we divide by the sum of weights.

In this problem, we have that:

Mr. Spears had 20 students in his class with a mean score of 80.

So 80 has a weight of 20.

Mrs. Guyton's class of 30 students had a mean score of 90.

So 90 has a weight of 30.

Overall, what was the mean score for all students on the quiz

M = \frac{80*20 + 90*30}{20 + 30} = 86

The mean score for all students on the quiz was 86.

4 0
3 years ago
25 PTSS EAY PLZZ ANYONE KNOW THIS I WILL GIVE 5 RATED STAR THANKS AND PROMISE BRAINLIEST ASAPExplain how to write a function rul
Furkat [3]

Answer:

y = -1/2x +2

Step-by-step explanation:

The linear and quadratic function rules we usually study in algebra come in several forms.

For linear function rules (equations of a line), there are more than half a dozen different forms, each with its own use. A few that often come in handy are the 2-point form, the slope-intercept form, the point-slope form, and the intercept form. Here, the 2-point form can be useful, since you have several points on the line to choose from.

The 2-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) + y1

point (x1, y1) and point (x2, y2) can be any pair of the given points, in any order. Let's use the first two for points 1 and 2.

y = (0 -1)/(4 -2)·(x -2) +1

y = -1/2(x -2) +1 . . . . . . . . this is a suitable function rule. In this simplified form, it is in point-slope form, where -1/2 is the slope and (2, 1) is the point.

If you want to simplify this a bit, you can put it into slope-intercept form by eliminating the parentheses and combining the constant terms:

y = -1/2x +2

5 0
3 years ago
Read 2 more answers
Other questions:
  • 24 slices of cheese for $7.44 or 90 slices of cheese for $28.80 <br><br> witch is better to buy?
    15·1 answer
  • Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
    15·1 answer
  • What is the distance from the spotlight to be base of the tree, rounded to the nearest meter?
    13·2 answers
  • Fill in the boxes to show how you unsimplified the original fraction. 2/3
    9·1 answer
  • Write 82,700,000 in scientific notation.
    15·1 answer
  • 4 times what equals 3/4
    12·2 answers
  • Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for pie. Enter your answers rounded to the nearest hun
    14·1 answer
  • T=2r + 3<br> 5r - 4t = 6
    14·2 answers
  • Please Show steps to solve x2 + 2x = 4<br> Its a Perfect Square trinomial.
    8·1 answer
  • Please help with these two questions, will give thanks
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!