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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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A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b
zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

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0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

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The distance between earth and moon is 384000000 m. this distance can be expressed as ____m
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This distance can be expressed as 3.84× 10^{8} m.

What is distance with example?

  • Distance is a scalar quantity.
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Given the distance between the earth and the moon is 384000km

Representing in exponential notation,

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<u>The correct question is -</u>

The distance between the Earth and the moon is approximately 384000 km.  this distance can be expressed as ____m.

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Ricky works almost 7 hours if your rounding.
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