1. Consider the matrices 0 4₁-(13), 1 3)₁ 4₂2 - ( -8 -2) ₁4₁ = (3-2). 0 1 3 -5 -4 A₁-(3) -4 0 and A4 These matrices can be used to build functions at A₁a, at Aga, at Asa, and at A4. These functions. are represented (in an arbitrary order) in Figure 1. Match each matrix with its corresponding picture. (b) (c) Figure 1: Graphical representation of functions (d)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
1. Consider the matrices
2
-2
A₁
- (₁ 3)₁ 4₂ = (3-2), A₁ = ( −² −2 ).
-(13),
,
1
0
-2
(a)
and A4
These matrices can be used to build functions 2TA₁, A₂, A3z, and at A4z. These functions
are represented (in an arbitrary order) in Figure 1. Match each matrix with its corresponding picture.
Explain briefly.
-5
-4
-(-6).
(b)
(c)
Figure 1: Graphical representation of functions
(d)
Transcribed Image Text:1. Consider the matrices 2 -2 A₁ - (₁ 3)₁ 4₂ = (3-2), A₁ = ( −² −2 ). -(13), , 1 0 -2 (a) and A4 These matrices can be used to build functions 2TA₁, A₂, A3z, and at A4z. These functions are represented (in an arbitrary order) in Figure 1. Match each matrix with its corresponding picture. Explain briefly. -5 -4 -(-6). (b) (c) Figure 1: Graphical representation of functions (d)
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