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Question
Let A = `[(1, 2),(-1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, -2)]` and a = 4, b = –2. Show that: A + (B + C) = (A + B) + C
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Solution
We have,
A = `[(1, 2),(-1, 3)]`
B = `[(4, 0),(1, 5)]`
C = `[(2, 0),(1, -2)]`
And a = 4, b = –2
A + (B + C) = `[(1, 2),(-1, 3)] + [(6, 0),(2, 3)] = [(7, 2),(1, 6)]`
And (A + B) + C = `[(5, 2),(0, 8)] + [(2, 0),(1, -2)]`
= `[(7, 2),(1, 6)]`
= A + (B + C)
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