v=<-9,2> is transformed using the transformix matrix
A=[-4 1]
[-1 2]
What is the resulting vector?
To find the resulting vector after applying the given transformation matrix, we need to multiply the transform matrix A with the vector v. Let's perform the multiplication:
A = [ -4 1 ]
[ -1 2 ]
v = [ -9 ]
[ 2 ]
To multiply the transform matrix A with the vector v, we can use the following steps:
1. Multiply the first row of A with the first element of v and add it to the product of the second row of A multiplied by the second element of v. This will give us the first element of the resulting vector.
2. Follow the same process, multiplying the elements of each row of A with the corresponding element of v, and summing them up to obtain the second element of the resulting vector.
Let's perform the calculations:
First element of the resulting vector = (-4 * -9) + (1 * 2) = 36 + 2 = 38
Second element of the resulting vector = (-1 * -9) + (2 * 2) = 9 + 4 = 13
Therefore, the resulting vector after applying the transformation matrix A to the vector v is:
[ 38 ]
[ 13 ]