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

Answer 1

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)