Solving Vector & Matrix Multiplication: Sketching in XY Plane

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Matrix multiplication involves calculating the product of two matrices, but the discussion shifts to visualizing these matrices as vectors in the XY plane. To sketch vectors, one must represent them with coordinates, typically in a Cartesian format, starting from the origin (O) to the specified coordinates. The conversation highlights that vector summation requires drawing both vectors and translating one to visualize their combined effect. Additionally, scalar multiplication alters the size of the vector, affecting its representation. The idea of drawing a matrix itself is unclear, but it may involve plotting each vector represented by the matrix's rows or columns.
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i have a question where i had to multiply to matrices:

2 -3
-3 and 2 i came up with the answer as -12 but then the question says:

sketch the vectors together in the xy plane.

what do they mean when they say this and how do you do it


thanks
 
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a vector is represented as (x0,x1,x2...,xn-1,xn)
if the vector is said to be a spatial vector than we associate them with
our terminology for spatial coordinates...which usually is xyz OR ei,ej,ek OR uvn(sometimes called cartesian or euclidean)

now to draw a vector means to draw a from O to the coordinates of that vector...
to draw a vector summation means to draw both vectors than translate one of them
vector scalar multiplication... means to resize the vector...
...
however if your askinghow to draw a matrix...i've never heard of such a thing...so my only guess would be to draw each columnwise vector or each rowwise vector.
 
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