Question

Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.

1. State the order of matrix M
2. Find the matrix M

Answer 1

Given

(i) `"M" xx [(1, 1),(0, 2)]` = [1 2]
M is the order of 1 x 2

(ii) let M = [x y]

∴ `[(x  ,  y)] xx [(1, 1),(0, 2)] = [(1  ,  2)]`

⇒ `[(x + 0 , x + 2y)] = [(1 , 2)]`

Comparing the corresponding elements

x = 1 and x + 2y = 2

⇒ 1 + 2y = 2

⇒ 2y = 2 - 1 = 1

⇒ y = `(1)/(2)`

Hence x = 1, y = `(1)/(2)`

∴ M = `[(1, 1/2)]`.