I'm not sure how to even begin this problem:
Find the matrix for a linear transformation that takes the x-axis to the line $y=3x$ and takes the y-axis to the line $y=6x$.
More on Linear Transformations
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linear-algebra
matrices
linear-transformations
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1It takes $(0,y)^{T}$ to $(\frac{y}{6},y)^{T}$ and takes $(x,0)^{T}$ to $(x,3x)^{T}$. Now let $A$ be matrix representing this transform, and write down above conditions in equations in terms of matrix coefficients – 2017-02-04
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0Alternatively, the columns of a matrix representing a linear transformation are exactly where the basis vectors are sent by that linear transformation. So $(1,0)^T$ is sent to, for instance, $(3,1)^T$, which means that $(3,1)^T$ is the first column of $A$. – 2017-02-04
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0Sorry, I'm new to Linear Algebra. What does the $T$ in $(0,y)^T$ mean? – 2017-02-04