Representation of basis vector in matrix form.

When you read math books related with game programming, you should know representation of basis vector is depends on representation of vector form.

if the book uses row vector then vector multiplication with matrix is going to be

vM form which is above form in the below image.

if the book uses column vector then vector multiplication with matrix is going to be Mv form which is below form in the above image.

Representation of basis vector i, j, k are also depends on the order of vector representation like the image I shown.