(:)-E3B =2- {{}-}--2x1 + x2Let T : R? → R? be defined by TLet u =, and2x1 – 3x2C =1Given Pc =-2, use the Fundamental Theorem of Matrix Representations to find [T] (PB(u)).3Ex: 5[T&(Pg(u)) =

To find the value of TBCPBu using Fundamental Theorem of Matrix Representation.

-2x1 + ¤2 Let T : R? → R² be defined by T' B = and Let u = 2æ1 – 3x2 -{{} } - (E)- C = 1 Given Pc = ,use the Fundamental Theorem of Matrix Representations to find [T],(Ps(u)). 3 Ex: 5 (TE(Ps (u))

-2x1 + ¤2 Let T : R? → R² be defined by T' B = and Let u = 2æ1 – 3x2 -{{} } - (E)- C = 1 Given Pc = ,use the Fundamental Theorem of Matrix Representations to find [T],(Ps(u)). 3 Ex: 5 (TE(Ps (u))

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

(:)-E
3
B =
2
- {{}-}-
-2x1 + x2
Let T : R? → R? be defined by T
Let u =
, and
2x1 – 3x2
C =
1
Given Pc =-2
, use the Fundamental Theorem of Matrix Representations to find [T] (PB(u)).
3
Ex: 5
[T&(Pg(u)) =

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