Let A = 8 0 0 00 -00 8 0 0 - 100 PR 32 8 - 16 and v= + C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v). C1 d

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Help with the following question. Find T(u) and T(v).
00
32
4413-8
0
- 16
0
Let A =
T(u) =
O
van example
O
Get more help -
tv
and v= C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v).
C1
d
ACCICAN
A
W
Clear all
Transcribed Image Text:00 32 4413-8 0 - 16 0 Let A = T(u) = O van example O Get more help - tv and v= C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v). C1 d ACCICAN A W Clear all
Expert Solution
Step 1

We are given that

            T : R→ R  such that

     T(x) = Ax

 

So, T(u) = Au

                |  1/8      0        0    |   |–  32   |

           =   |     0       1/8      0      |   |      8     |

                |_    0         0       1/8  _|   |_   -16  _|

                |– |

            =  |    1    |

                |_  -2  _|       [Ans]

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