Question

5. If a linear transformation $T_1$ has standard matrix $\begin{bmatrix} 1 & 0 & 2\\ 0 & 1 & -1 \end{bmatrix}$ and a linear transformation $T_2$ has standard matrix $\begin{bmatrix} 0 & 2\\ 1 & -1 \end{bmatrix}$, what is the standard matrix for the linear transformation $T_2 \circ T_1$?

Name: 5. If a linear transformation T1 has standard matrix < b m a t r i x > and a linear transformation T2 has standard matrix < b m a t r i x >, what is the standard matrix for the linear transformation T2 ∘ T1?
Uploaded: 2023-04-27T03:34:55-08:00
Duration: 2 min 12 s
Channel: Supreeta N
Description: 5. If a linear transformation T1 has standard matrix < b m a t r i x > and a linear transformation T2 has standard matrix < b m a t r i x >, what is the standard matrix for the linear transformation T2 ∘ T1?

          5. If a linear transformation $T_1$ has standard matrix $\begin{bmatrix} 1 & 0 & 2\\ 0 & 1 & -1 \end{bmatrix}$ and a linear transformation $T_2$ has standard matrix $\begin{bmatrix} 0 & 2\\ 1 & -1 \end{bmatrix}$, what is the standard matrix for the linear transformation $T_2 \circ T_1$?

5. If a linear transformation T1 has standard matrix < b m a t r i x > and a linear transformation T2 has standard matrix < b m a t r i x >, what is the standard matrix for the linear transformation T2 ∘ T1?

Added by Cheryl B.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Supreeta N

04/27/2023

Step 1

Step 1: To find the standard matrix for the linear transformation T_(2)@T_(1), we need to perform matrix multiplication of the standard matrices of T_(1) and T_(2). Show more…

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If a linear transformation T_(1) has standard matrix [[1,0,2],[0,1,-1]] and a linear transformation T_(2) has standard\nmatrix [[0,2],[1,-1]], what is the standard matrix for the linear transformation T_(2)@T_(1) ? 2 5. If a linear transformation T has standard matrix and a linear transformation T has standard 1 matrix what is the standard matrix for the linear transformation T o T?