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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Let A = (101001011001), B = (010110101001), C = (110101101111) be any three boolean matrices of the same type. Find A ∧ B - Mathematics

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Question

Let A = `((1, 0, 1, 0),(0, 1, 0, 1),(1, 0, 0, 1))`, B = `((0, 1, 0, 1),(1, 0, 1, 0),(1, 0, 0, 1))`, C = `((1, 1, 0, 1),(0, 1, 1, 0),(1, 1, 1, 1))` be any three boolean matrices of the same type. Find A ∧ B

Sum

Solution

Given boolean matrices

A = `((1, 0, 1, 0),(0, 1, 0, 1),(1, 0, 0, 1))`

B = `((0, 1, 0, 1),(1, 0, 1, 0),(1, 0, 0, 1))`

C = `((1, 1, 0, 1),(0, 1, 1, 0),(1, 1, 1, 1))`

A ∧ B = `((1 ^^ 0, 0 ^^ 1, 1 ^^ 0, 0 ^^ 1),(0 ^^ 1, 1 ^^ 0, 0 ^^ 1, 1 ^^ 0),(1 ^^ 1, 0 ^^ 0, 0 ^^ 0, 1 ^^ 1))` 

= `((0, 0, 0, 0),(0, 0, 0, 0),(1, 0, 0, 1))`

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Chapter 12: Discrete Mathematics - Exercise 12.1 [Page 236]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 12 Discrete Mathematics
Exercise 12.1 | Q 8. (ii) | Page 236

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