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)
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Chapter2: Matrices
Section2.1: Operations With Matrices
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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
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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
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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