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Question
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
Solution
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)]`.
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