Q. 43 Let A be the set of 2 x 2 matrices given by A = [a]; where aij € {0, 1, 2, 3, 4, 5} such that a11 + a12 + a21 + a22 = 5, then Rate this question Answer the number of matrices in A which are invertible are 32 the number of matrices in A which are symmetric or skew symmetric are 8 the number of matrices in A which are symmetric or skew symmetric such that Det A is odd are 6 The total number of matrices in A are 56
Q. 43 Let A be the set of 2 x 2 matrices given by A = [a]; where aij € {0, 1, 2, 3, 4, 5} such that a11 + a12 + a21 + a22 = 5, then Rate this question Answer the number of matrices in A which are invertible are 32 the number of matrices in A which are symmetric or skew symmetric are 8 the number of matrices in A which are symmetric or skew symmetric such that Det A is odd are 6 The total number of matrices in A are 56
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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![Q. 43 Let A be the set of 2 x 2 matrices given by A = [aij]; where aij € {0, 1, 2, 3, 4, 5} such that a11 + a12 + a21 + a22 = 5, then
Rate this question
Answer
the number of matrices in A which are invertible are 32
the number of matrices in A which are symmetric or skew symmetric are 8
the number of matrices in A which are symmetric or skew symmetric such that Det A is odd are 6
The total number of matrices in A are 56](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51f85404-cd9e-45a0-8889-becad509a325%2Fe341728a-a60b-4e80-a7df-8807c269d276%2Fhb15mk5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q. 43 Let A be the set of 2 x 2 matrices given by A = [aij]; where aij € {0, 1, 2, 3, 4, 5} such that a11 + a12 + a21 + a22 = 5, then
Rate this question
Answer
the number of matrices in A which are invertible are 32
the number of matrices in A which are symmetric or skew symmetric are 8
the number of matrices in A which are symmetric or skew symmetric such that Det A is odd are 6
The total number of matrices in A are 56
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