Determining;

Step 1

asked 2021-11-17

\(\displaystyle{T}:{M}_{{{n}×{n}}}{\left({R}\right)}\rightarrow{R}\ {d}{e}{f}in{e}{d}\ {b}{y}\ {T}{\left({A}\right)}={\det{{\left({A}\right)}}}.\)

asked 2021-11-08

\(T\begin{bmatrix} x \\ y \end{bmatrix}=\begin{bmatrix} xy \\ x+y \end{bmatrix}T\)

asked 2021-10-25

Let \(\displaystyle{L}:{V}\rightarrow{W}\) be a linear transformation. Explain the
meaning of the following statement:
The action of the linear transformation L is
completely determined by its action on a basis
for V.

asked 2021-11-14

\(T\begin{bmatrix} x \\ y \end{bmatrix}=\begin{bmatrix} xy \\ x+y \end{bmatrix}T\)

asked 2021-11-18

The following coordinates are each of a single transformation. What type of transformation occurred for image D'.

asked 2021-10-21

Let S and T be linear transformations from V into W. Show that S + T and kT are both linear transformations, where (S + T)(v) = S(v) + T(v) and (kT)(v) = kT(v).

asked 2020-11-10

\({T}:{M}_{{33}},\)

\({T}{\left({A}\right)}={\left[\begin{matrix}{0}&{0}&{1}\\{0}&{1}&{0}\\{1}&{0}&{0}\end{matrix}\right]}{A}\)