QuestionGiven matrix and vectors and , find and where .
Studdy Solution
STEP 1
Assumptions1. The matrix is
. The vector is
3. The vector is
4. The transformation is defined by
STEP 2
First, we need to find . We can do this by multiplying the matrix with the vector .
STEP 3
Now, plug in the given values for the matrix and the vector to calculate .
STEP 4
Calculate by performing the matrix-vector multiplication.
STEP 5
Next, we need to find . We can do this by multiplying the matrix with the vector .
STEP 6
Now, plug in the given values for the matrix and the vector to calculate .
STEP 7
Calculate by performing the matrix-vector multiplication.
So, and
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