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

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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