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
BabaBlast [244]
3 years ago
13

5.3.24 A is a 3times3 matrix with two eigenvalues. Each eigenspace is​ one-dimensional. Is A​ diagonalizable? Why? Select the co

rrect choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. No. A matrix with 3 columns must have nothing unique eigenvalues in order to be diagonalizable. B. Yes. As long as the collection of eigenvectors spans set of real numbers Rcubed​, A is diagonalizable. C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal. D. Yes. One of the eigenspaces would have nothing unique eigenvectors. Since the eigenvector for the third eigenvalue would also be​ unique, A must be diagonalizable.
Mathematics
1 answer:
abruzzese [7]3 years ago
5 0

Answer:

C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.

Step-by-step explanation:

Here the sum of dimensions of eigenspace is not equal to the number of columns, so therefore A is not diagonalizable.

You might be interested in
Figure A was drawn first and figure B was drawn second. What is the scale factor?
kakasveta [241]
The answer is A because you are multiplying it by 2
3 0
2 years ago
What is the slope of a line between the points (-4,-3) and (4, -2)?
Mashcka [7]

Answer:

slope is 1/8

Step-by-step explanation:

you have to substitute the values of x and y into the equation below:

after simplifying your answer would be 1/8

4 0
3 years ago
Susie is having a party with 15 guests. she wants to feed everyong sandwhiches.if susie buys 7 1/2 pounds of meat, how much meat
padilas [110]
Take 7.5 and divide by 15.
7.5/15=.5
each guest will get .50 pound of meat.
4 0
3 years ago
Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth. 5x+2y=7
Rashid [163]
5x + 2y = 7....multiply by -3
-2x + 6y = 9
----------------
-15x - 6y = -21 (result of multiplying by -3)
-2x + 6y = 9
---------------add
-17x = - 12
x = 12/17 or 0.7

5x + 2y = 7
5(12/17) + 2y = 7
60/17 + 2y = 7
2y = 7 - 60/17
2y = 119/17 - 60/17
2y = 59/17
y = 59/17 * 1/2
y = 59/34 or 1.7 when rounded <====
4 0
3 years ago
Read 2 more answers
A bake sale has 5 brownies for sale. Each brownie was cut into 4 slices. Each slice was sold for $7. What was the total amount e
Alona [7]

Answer:

the answer is $140

Step-by-step explanation:

5x4=20      20x7=140

4 0
2 years ago
Read 2 more answers
Other questions:
  • The sides of a triangle have lengths 3, 3, and 5. what kind of triangle is it ?
    12·1 answer
  • Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3)?. .
    12·1 answer
  • What is the value of x?
    14·2 answers
  • Please HELP!!!
    11·1 answer
  • Please I need the correct answer.
    15·1 answer
  • Given that the measure of angle GHJ = 154 degrees find the angle of HIJ
    8·1 answer
  • Someone please help me​
    10·1 answer
  • PLEASE ANSWER I'LL GIVE YOU BRIANLIEST
    10·1 answer
  • Evaluate.<br><br> (2/3)^4<br><br> Enter your answer by filling in the boxes
    10·2 answers
  • A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1 ratio. Find T. You must show all work
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!