Question

(i) State the order of the matrix M.
(ii) Find the matrix M
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Answer 1

Answer:

Order of matrix M is 1 × 2

[1×2] [2×2] gives 1×2 matrix

[a b] [ 1 1 ] = [1 2]

[ 0 2 ]

[a×1 + b×0, a×1 + b×2 ] = [1 2]

[a + 0 , a + 2b] = [1 2]

[a a + 2b] = [1 2]

on comparing the corresponding elements,

a = 1

a + 2b = 2

1 + 2b = 2

2b = 2 - 1

2b = 1

b = 1/2

therefore the matrix M = [ 1 1/2]