## Related questions with answers

Question

Find the standard matrix of the linear transformation T, and use it to determine whether T is onto. $T:R^3\to R$ defined by

$\begin{equation*}T\begin{pmatrix}\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix}\end{pmatrix} =2x_1-5x_2+4x_3.\end{equation*}$

Solution

VerifiedStep 1

1 of 4$A=\begin{bmatrix} 2 & -5 & 4 \end{bmatrix}$

The standard matrix of the transformation contains the coefficients of the transformation.

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