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Question: how do i get the new matrix the solution just...

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how do i get the new matrix, the solution just pop out the matrix suddenly. the most wired thing is how we combine the matrix...... and apply L(x)=x where can we get that please step by step and follow the comment

We need to find the transformation matrix L that translates each point 3 units to the left and 5 units up Here, the vector translates each point 3units to the left. So, from translation formula l(x)-x+a, we write the translation matrix as 1 03 A-0 1 0 Again, the vector translates upward direction 5 units. So, from translation formula L(x)-x+a we write the translation matrix as: A 015 Hence, combining the above two matrices, the final transformation matrix will be as follows: 1 03 L=11015

For each of the following linear operators on R2,
find the matrix representation of the transformation
with respect to the homogeneous coordinate
system:

The transformation L that translates each point
3 units to the left and 5 units up

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