Subject name: Linear AlgebraTips: Must be do it handwritting do not use matlab and others Assignment - 8-1Problem 1: Find AT and A-¹ and (A−¹)ª and (A¹)−¹ forA =Bin Han (HDU)1[8]where c is a nonzero constant.Problem 2: If A = A¹ and B = BT, which of these matrices arecertainly symmetric?A² – B²;✪ (A + B) (A − B);3 ABA;4 ABAB.Transposes and Permutations13/14

Answered: Image /qna-images/answer/6fc6e4b2-afde-4e94-81eb-ca8d105fb7b9.jpg

Problem 1: Find AT and A-¹ and (A-¹) and (A¹)−¹ for с A = [ ! 8] where c is a nonzero constant. Problem 2: If A = A¹ and B = B¹, which of these matrices are certainly symmetric? 1 A² – B²; ✪ (A + B)(A − B); - 3 ABA; 4 ABAB.

Problem 1: Find AT and A-¹ and (A-¹) and (A¹)−¹ for с A = [ ! 8] where c is a nonzero constant. Problem 2: If A = A¹ and B = B¹, which of these matrices are certainly symmetric? 1 A² – B²; ✪ (A + B)(A − B); - 3 ABA; 4 ABAB.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section6.3: Inverses Of Matrices And Matrix Equations

Problem 1E: (a) The matrix I=[1001] is called an _____ matrix. (b) If A is a 22 matrix, then AI= _____ and IA=...

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Question

Subject name: Linear Algebra

Tips: Must be do it handwritting do not use matlab and others

Assignment - 8
-1
Problem 1: Find AT and A-¹ and (A−¹)ª and (A¹)−¹ for
A =
Bin Han (HDU)
1
[8]
where c is a nonzero constant.
Problem 2: If A = A¹ and B = BT, which of these matrices are
certainly symmetric?
A² – B²;
✪ (A + B) (A − B);
3 ABA;
4 ABAB.
Transposes and Permutations
13/14

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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