(a) Explanation Given Information: A matrix is skew symmetric if it is equal to negative of its transpose. Formula Used: A matrix with m rows and n columns is of dimension m × n , where m and n are positive integers. For any matrix A with dimension m × n , to calculate transpose of A , write the columns of A as rows. A matrix A is skew symmetric if it is equal to negative of its transpose which is A = − A T . Calculation: Consider, a matrix is skew symmetric if it is equal to negative of its transpose which is A = − A T . Recall that for any matrix A with dimension m × n , to calculate transpose of A , write the columns of A as rows. Thus, in the matrix A T , i t h row and j t h column of the matrix A T is the i t h row and j t h column of the matrix A . Since, for A to be skew symmetric A = − A T . Thus, each i j t h entry is negative of j i t h entry for i ≠ j , and each diagonal entry is equal to 0. Consider a matrix, A = [ 0 − 3 3 0 ] Recall that a matrix with m rows and n columns is of dimension m × n , where m and n are positive integers (b) To determine To calculate: A nonzero 3 × 3 skew symmetric matrix where a matrix is skew symmetric if it is equal to negative of its transpose.

7th Edition

ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 4.1, Problem 61E

(a)

To determine

To calculate: A nonzero 2×2 skew symmetric matrix where a matrix is skew symmetric if it is equal to negative of its transpose.

(b)

To determine

To calculate: A nonzero 3×3 skew symmetric matrix where a matrix is skew symmetric if it is equal to negative of its transpose.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.1, Problem 60E

Chapter 4.1, Problem 62E

Students have asked these similar questions

Stat questions

1) and let Xt is stochastic process with WSS and Rxlt t+t) 1) E (X5) = \ 1 2 Show that E (X5 = X 3 = 2 (= = =) Since X is WSSEL 2 3) find E(X5+ X3)² 4) sind E(X5+X2) J=1 ***

Question 1: Let X be a random variable with p.m.f (|x| +1)² x= -2, -1, 0, 1,2 f(x) = C 0, O.W 1. The value of c. 2. The c.d.f. 3. E(X). 4. E(2x+3). 5. E(X²). 6. E(3x²+4). 7. E(X(3X+4)). 8. Var(X). 9. Var (6-3X). 10. Find the m.g.f of the random variable X

Chapter 4 Solutions

Finite Mathematics

Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - In Exercises 110, find the dimensions of the given...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

A nonzero 2 × 2 skew symmetric matrix where a matrix is skew symmetric if it is equal to negative of its transpose.

Solution Summary: The author calculates a nonzero 2times 2 skew symmetric matrix if it is equal to negative of its transpose.

Videos

To calculate: A nonzero 2×2 skew symmetric matrix where a matrix is skew symmetric if it is equal to negative of its transpose.

To calculate: A nonzero 3×3 skew symmetric matrix where a matrix is skew symmetric if it is equal to negative of its transpose.

Want to see the full answer?

Chapter 4 Solutions