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Question 10 A linear transformation $T$ is given below. Find $[T]$. $T\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}$ $[T] = \begin{bmatrix} \\ \\ \end{bmatrix}$

          Question 10
A linear transformation $T$ is given below. Find $[T]$.
$T\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}$
$[T] = \begin{bmatrix}  \\  \\ \end{bmatrix}$
        
Question 10
A linear transformation T is given below. Find [T].
T
    < b m a t r i x >
 = 
    < b m a t r i x >
[T] = 
    < b m a t r i x >

Added by Crystal P.

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Question 10 A linear transformation T is given below. Find [ T ]
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Transcript

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00:01 Hi now we are going to discuss about the linear transformation.
00:05 T of 4 .5 is equal to 1 5 and t of 3 3 .3 is equal to 3 minus 1.
00:30 Now we know that for linear transformation t of alpha v1 plus beta v2 is equal to to alpha into t of v1 plus beta into t of v2.
00:49 From this formula we get alpha into t of 4 5 plus beta into t of 3 3 is equal to t of minus 4 minus 2 and it can be written as t of 4 alpha 5 alpha plus 3 beta 3 beta and it will be equal to t of minus 4 minus 2.
01:29 From this we get 4 alpha plus 3 beta is equal to minus 4.
01:38 5 alpha plus 3 beta is equal to minus 2.
01:45 Now we subbrac the above two equations, then we get alpha equal to 2...
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