(a) Explanation Given Information: A matrix is symmetric if it is equal to 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 symmetric if it is equal to its transpose which is A = A T . Calculation: Consider, a matrix is symmetric if it is equal to 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 symmetric A = A T . Thus, each i j t h entry is equal to j i t h entry for i ≠ j , and for i = j that is each diagonal entry is any real number. Consider a matrix, A = [ 1 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 symmetric matrix where a matrix is symmetric if it is equal to its transpose.

7th Edition

ISBN: 9781337291262

Author: Stefan Waner, Steven Costenoble

Publisher: Brooks Cole

See similar textbooks

Videos

Question

Chapter 4.1, Problem 60E

(a)

To determine

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

(b)

To determine

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

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.1, Problem 59E

Chapter 4.1, Problem 61E

Students have asked these similar questions

Find the sample space. Sunscreen SPF 10, 15, 30, 45, 50 Type Lotion, Spray, Gel

The graphs of the function F (left, in blue) and G (right, in red) are below. Answer the following questions. F'(1) G'(1) F'(6) G'(6)

1. One of the partial fractions for 2 4x²+x-9 x3+2x²-3x 2 x+1 a) x23 b) x 1½ c) x² d) x-1 x is

Chapter 4 Solutions

Finite Mathematics, Loose-leaf Version

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 symmetric matrix where a matrix is symmetric if it is equal to its transpose.

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

Videos

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

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

Want to see the full answer?

Chapter 4 Solutions