To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components …
To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.
Ana Donevska Todorova Humboldt Universitハt zu Berlin Mathematisch-Naturwissenschaftliche Fakultハt II Institut f゚r …
Ana Donevska Todorova Humboldt Universitハt zu Berlin Mathematisch-Naturwissenschaftliche Fakultハt II Institut f゚r Mathematik, Didaktik der Mathematik ??? ?????????? ?????? ???????? ?? ???????????? ????? ? ????
We've learned about matrix addition, matrix subtraction, matrix multiplication. So you might …
We've learned about matrix addition, matrix subtraction, matrix multiplication. So you might be wondering, is there the equivalent of matrix division? And before we get into that, let me introduce some concepts to you. And then we'll see that there is something that maybe isn't exactly division, but it's analogous to it.
Sal checks whether the commutative property applies for matrix multiplication. In other …
Sal checks whether the commutative property applies for matrix multiplication. In other words, he checks whether for any two matrices A and B, A*B=B*A (the answer is NO, by the way). Created by Sal Khan.
This 22-minute video lesson shows another example of a projection matrix. It …
This 22-minute video lesson shows another example of a projection matrix. It shows how to figure out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first.
This 3-minute video lesson is a correction of last video showing that …
This 3-minute video lesson is a correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant.
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