Question

Given M × [

1 2

−2 0

] = [1 2], where M is a matrix .

(i) Write the order of matrix M.

(ii) Find the matrix M​

Answer 1

Answer:

Given

(i) M is the order of 1 x 2

let M = [x y]

∴ [x y]×[1102]=[1 2]

⇒ [x+0x+2y]=[12]

Comparing the corresponding elements

x = 1 and x + 2y = 2

⇒ 1 + 2y = 2

⇒ 2y = 2 - 1 = 1

⇒ y =

12

Hence x = 1, y =

12

∴ M =

[112].

Step-by-step explanation:

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