How to Determine Standard Matrix of Linear Transformation - Linear Algebra

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Note: I mention the standard matrix is where "the standard basis vectors lie" but I mean to say "where the TRANSFORMED standard basis vectors lie".

Quick video going over how we can determine the standard matrix that describes a linear transformation.
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this video has saved my life, literally thank you sm

peacepickle
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Great video, but there is one small mistake at 7:15. When you take your matrix to RREF, the result of the first line should be (-1/2)x_3 + 2x_2 + (-1/2)x_1

gentlemandude
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You made a mistake in transforming the first basis

abdirazaqali
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dude just count the coefficient of variables bro ?

mandelaaa