Rotate a triangle with vertices (2, 1). (4. 1). (3, 3) by 90 degrees (clock wise) and then Translate
Kamren Reilly
Answered question
2022-06-02
T1 is Rotation with 90 T2 is Translation T3 is Rotation with 30
What is correct order of transformation matrix to multiply the metrix?
T3 T2 T1 or T1 T2 T3?
Should i follow the order given by the question or reverse order?
Answer & Explanation
Adrianna Barnes
Beginner2022-06-03Added 3 answers
T3*T2*T1*vertices since the T1 matrix will be applied first. Here is the illustration, emphasizing the order of operations using parentheses:
T3*(T2*(T1*vertices))
Wesley Hicks
Beginner2022-06-04Added 3 answers
Whether you're working with row vectors that get right-multiplied by transformation matrices or column vectors that get left-multiplied by a matrix to transform them determines the order.
The fact that when you compose transformations, each subsequent transformation is applied to the outcome of the preceding one—the chain of multiplications expands away from the thing being transformed—is an easy method to recall the proper order of multiplication.Thus, using the column vector convention, if you want to transform a vector first by and then by , you would first compute and then . With three transformations, it would be . If we’re instead working with row vectors, the chain of multiplications would grow to the right instead of the left as above.
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