Question: Show that for any x the matrix satisfies the relation A 2 = I.

Show that for any x the matrix

A = [cos(2x) sin(2x) sin(2x) -cos(2x)]

satisfies the relation A2 = I.

Step by Step Solution

★★★★★

3.51 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Multiplying o... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

Assume that ¿ is a continuous order relation on a connected metric space with x0 > y0 for at least one pair x0; y0 X. 1. Show that for any x0; y0 X such that x0>y0, 2. Suppose that 7 is not...

Q:

Show that for any positive integers i and j with i > j, we have Ti(x)Tj(x) = 1/2[Ti+j(x) + Tij(x)].

Q:

If one attempted to dualize the notion of free module over a ring R (and called the object so defined "co-free") the definition would read: An R-module F is co-free on a set X if there exists a...

Q:

Help me solve this on paper : 1. Assume that A and B are n x n matrices and the equation ABT = 0 has a non-trivial solution. What can be said about matrix AB? 2. If A and B are n x n invertible...

Q:

A magic square is an matrix that has the following 2 properties: 1) It is filled with the numbers 1,2,3, . . . . . , !, and each number occurs once and only once. 2) The sum of the elements in each...

Q:

please answer in java and add comments. please answer as soon as possible . thank you so much Question 1: Magic Matrix A magic square is an n x n matrix that has the following 2 properties: 1) It is...

Q:

(1) Let r be the relation on P defined by ary if and only if x divides y. Let s be the relation on P defined by xsy if and only if a and y are both even or both odd. (a List 5 elements of the...

Q:

Consider a group of 6 people are members of some social media platform. Three relations, F , S , and L are defined over this group as follows ( \ ( x \ ) and \ ( y \ ) are members of the given set of...

Q:

Let A be an m x n matrix whose columns are linearly independent. a. Use Exercise 27 to show that A T A is an invertible matrix. b. Explain why A must have at least as many rows as columns. c....

Q:

X Course Hero Differential Equations and Linear X G Determine all values of the const x M (no subject) - sylviaabdelmasih@ x...

Q:

Write a program that tells a missing side of a right-angled triangle. It asks the user which side of the triangle is missing (in a string). It then finds that missing side using the famous Pythagoras...

Q:

The problem of how and when to account for revenue on long term contracts has been an issue for many years. Evaluate the approach taken by IFRS 15 (Revenue from Contracts with Customers) to permit...

Q:

Christie, Incorporated, has identified an investment project with the following cash flows. YearCash Flow 1 $ 9 9 0 2 1 , 2 2 0 3 1 , 4 4 0 4 2 , 1 8 0 If the discount rate is 8 percent, what is the...

Q:

There are broadly two income statement formats that are outlined in IAS

Q:

If a spectral peak is broadened, can you always conclude that the excited state has a short lifetime?

Q:

What is the difference between a permanent and a dynamic dipole moment?

Q:

What is the explanation for the absence of a peak in the rotationalvibrational spectrum near 3000 cm1 in Figure 19.17? Figure 19.17 n=1 J=10 n=1J=5 n=0J=10 n=0J=5

Q:

The following transactions occurred during March 2018 for the Wainwright Corporation. The company owns and operates a wholesale warehouse. Issued 30,000 shares of common stock in exchange for...

Q:

Identify the key elements of footnotes. Consider the following questions to guide your response:What information is typically included in footnotes? How do companies know what information they need...

Q:

The inverted-U theory suggests that R&D expenditures as a percentage of sales with industry concentration after the four-firm concentration ratio exceeds about 50 percent. a. Rise. b. Fall C....