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Solution to Unified Tertiary Matriculation Examination Mathematics 2011 No. 26

To find the inverse of a 2 times 2 matrix,

We need to find the determinant

From the above equation,

det = (2times4) - (3 times 1)

        =  8 - 3

        = 5

Now we find inverse of 5 which is

frac{1}{5}

We now interchange the position of the values in the matrix

Interchange a11 and a22, then negate the signs of a12 and a21

Therefore, we now have

frac{1}{5}begin{bmatrix} 4 & -3\ -1 & 2 end{bmatrix}

 

1 year ago
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