Linear Transformation Solutionlet the tranformation mtrix is

Solution

let the tranformation mtrix is

a b

c d

so from the first transformation we get,(by matrix multiplication)

2a+b=0 and 2c+d=11

similarly from the second transformation we get,

a+5b=-9 and c+5d=10

So by solving this four equation we can get that,

a=1, b=-2, c=5 and d=1

so the transformation matrix is,

1 -2

5 1