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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.

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What is the perimeter of this rectangle?
givi [52]
The perimeter is defined as the sum of all the sides of any polygon.

A rectangle is a polygon with 4 sides and 2 pairs of parallel sides. Therefore, in order to find the perimeter of any rectangle, we can either add up all the sides given to you or use a formula which states that:

                                            P = 2L + 2W
Where,
L is the length of the rectangle and W is the width of a triangle.

For example:
A triangle with length = 5 cm and Width = 3 cm.
The Perimeter will be:
                                    P = 2×5 + 2×3
                                    P = 10 + 6
                                    P = 16 cm
3 0
3 years ago
A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model
ivolga24 [154]

Answer:

6

Step-by-step explanation:

(6*200)+(10*60)=1800

(6*50)+(10*10)=400

5 0
2 years ago
Drag the choices into the boxes to explain how all real numbers have a decimal expansion.
KATRIN_1 [288]

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Step-by-step explanation:

1. The decimal forms of some real numbers, like( ), terminate

A number is terminating if it has decimal with finite number

So, \frac{3}{16}= 0.1875 as decimal stops after 4 digits so it is terminating.

2.  the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.

A number that do not terminate, but have a repeating pattern.

So, 4 \frac{2}{11} =\frac{44}{11}=4.1818181

3. have decimal forms that neither terminate nor repeat

5^2 = 25 it neither terminates nor repeat

So, answers will be:

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Keywords: Decimals

Learn more about decimals at:

  • brainly.com/question/10941043
  • brainly.com/question/4390083

#learnwithBrainly

6 0
3 years ago
Determine if they are congruent. State how they are.
Doss [256]

\huge \bf༆ Answer ༄

The Correct choice is ~ D

  • \textsf{Not enough information }

The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=8%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title="8 \frac{3}{5} " alt="8 \frac{3}{5} " ali
IRINA_888 [86]

Answer:

Step-by-step explanation:

8 3/5 is already in simplest form.  You could write this mixed number as an improper fraction:

43/5

or as a mixed decimal number:

8.6

5 0
3 years ago
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