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scoundrel [369]
3 years ago
11

Consider the matrices -2 -1 1 4 1 A = B = 4 -2 4 -2 -2 4 -2 1 -1 (a) Verify that they are diagonalizable and that they commute.

(b) Find the eigenvalues and eigenvectors of A and verify that its spectrum is nondegenerate. (c) Show that the eigenvectors of A are eigenvectors of B as well.

Mathematics
1 answer:
Phoenix [80]3 years ago
6 0

Answer:

Explanation to answers are shown in the attachment

Step-by-step explanation:

This is a long solution but the detailed step by step and appropriate mathematical manipulation has been done as shown in the attachment.

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12% of 80 working out​
horsena [70]

How to do the problem:
Assuming that you mean you want 12% of the number 80 and showing work, here is the answer:

To get X percent of any number, write the percent as a decimal and then multiply that decimal by the whole.

What I mean:

You want 12% of 80
so first change 12% into a decimal
12% is equal to .12 as a decimal

Then multiply that decimal by the whole
Since you want 12%  of 80, 80 is the whole

that means you do .12 * 80
which is equal to 9.6
<u>Thus(answer)</u>
12% of 80 = 9.6

4 0
2 years ago
Simplify the following expression:<br><br> 2(x+7) - (x+2)
Mekhanik [1.2K]

Answer:

x + 12

Step-by-step explanation:

  • (2)(x)+(2)(7) + (-1)(x) + (-1)(2)
  • 2x + 14 -x -2
  • (2x-x)+(14-2)
  • x + 12

Therefore, the answer is x + 12.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
2 years ago
Read 2 more answers
A triangle has side lengths of 13 in, 29 in, and 30 in. Classify it as acute, obtuse, or right.
kenny6666 [7]

Acute

Angle ∠ A = α = 25.385° = 25°23'6″ = 0.443 rad

Angle ∠ B = β = 73.004° = 73°14″ = 1.274 rad

Angle ∠ C = γ = 81.611° = 81°36'41″ = 1.424 rad

8 0
2 years ago
The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf ba
sergiy2304 [10]

THE ANSWER IS A:

This is the function:

f(x)=|42.67-x|.

42.670 -.002 =42.668

42.668 mm to 42.670

Explanation:

Production will be stopped if the difference in diameter is greater than 0.002 mm.

This difference can mean that the golf ball has a diameter more than 0.002 larger than 42.67 mm, or a diameter more than 0.002 smaller than 42.67. This is the reason for using an absolute value function.

 Absolute value represents the distance a number is from 0. For this function, we would want only the values where the function is less than 0.002.

4 0
2 years ago
is a 50 percent increase followed by a 33 1/2 percent decrease same less or greatter than the original value
Nitella [24]

Answer:less than

Step-by-step explanation:

3 0
3 years ago
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