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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 v B) ∧ C
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 v B) ∧ C = `((1, 1, 1, 1),(1, 1, 1, 1),(1, 0, 0,1)) ^^ ((1, 1, 0, 1),(0, 1, 1, 0),(1, 1, 1, 1))`
= `((1 ^^ 1, 1^^ 1, 1 ^^ 0, 1 ^^ 1),(1 ^^ 0, 1^^ 1, 1 ^^ 1, 1 ^^ 0),(1 ^^ 1, 0 ^^ 1, 0 ^^ 1, 1 ^^ 1))`
= `((1, 1, 0, 1),(0, 1, 1, 0),(1, 0, 0, 1))`
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