Question

If A = `[(7, 3, 0),(0, 4, -2)], "B" = [(0, -2, 3),(2, 1, -4)]`, then find 5A^T – 5B^T.

Answer 1

A = `[(7, 3, 0),(0, 4, -2)] "and" "B" = [(0, -2, 3),(2, 1, -4)]`

∴ AT = `[(7, 0),(3, 4),(0, -2)] "and" "B"^"T" = [(0, 2),(-2, 1),(3, -4)]`

5A^T – 5B^T  = 5(A^T – B^T)

= `5([(7, 0),(3, 4),(0, -2)] - [(0, 2),(-2, 1),(3, -4)])`

= `5[(7 - 0, 0 - 2),(3 + 2, 4 - 1),(0 - 3, -2 + 4)]`

= `5[(7, -2),(5, 3),(-3, 2)]`

= `[(35, -10),(25, 15),(-15, 10)]`.