idan di
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How to find coordinate vector for an ordered none standart basis of polynomials?
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method $1$: Find the change of basis matrix from $E$ to $B$: $1+t=1(1)+1(t)+1(t^2)$ $t^2\;\;\;\;\,=0(1)+0(t)+1(t^2)$ $t\;\;\;\;\;\;= 0(1)+1(t)+0(t^2)$ tranpose the coefficients and put as ...

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what is a way to proof this theorem about square matrix?
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Thanks to all helpers. All are correct. Proof: Let A be a square regular matrix. Any such matrix is row equivalent to a triangular matrix. Let perform elementary row operations until getting to a ...

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