Result:
Scaling a matrix with a scaler:
Imagine you have a magic multiplier device, represented by the scalar k. This tool can stretch or shrink any matrix you give it. Let's see how it works on a simple 2x2 matrix:
A = [A B]
[C D]
Here, A, B, C and D are different elements of the matrix. To scale this matrix with k, we simply multiply each element by k:
K * A = [ K*A K*B ]
[k*c k*d]
As you can see, each element in the original matrix A is now multiplied by k. This means that the entire matrix stretches or shrinks proportionally, depending on whether k is greater or less than 1.
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