2.Use the Gram-Schmidt process totranstorn the b asis § (!,?,-1),(O,2;-2),orthonov mal basisanunderthe EU Clidean inner Produetin IR":

Answered: 2.Use the Gram-Schmidt process to…

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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Q3) A) select the correct answer:- 1-Inverse z-transform of the system can be calculated using: a) Partial fraction method b) Long division method c) Basic formula of the z-transform d) All of the mentioned 2- The ZOH is physically equivalent to:- a-D'A b- A/D c- filter 3- For jury stability test and characteristic equation is odd, the condition for stable d- both a and b. system eQ(-1) =0 , bQ(-IX0, aQ(-1)0 4- steady-state error for type two system and ramp input is equal a) 1 .b) 0.c) infinity , d) there is a value 5-The roots of characteristic equation are z = 0.244 + j0.970 a) System is stable b) system unstable, c) marginally stable Kz B) G(2) = And T-0.5 sec. (z-Xz-0.6065) 1- Find the value of(K) for the steady-state error to a unit-ramp input to be(0.25). 2- For the value of (K) found in part (a), find (C), (Wn) and (time-constant=r) of the system
1. Inner Product: u = [6 1 2], v = [3 -10 -2], what is the inner product of u and v? What is the geometric interpretation?
Why i(3^0) = i(3^8) = 0.please with explanation. I think 3^0 is always 0 . (3 is the notation , not number)
2. Using the Singular Value Decomposition, show that for any square matris A, it follows that A*A is similar to AA*
19 show all the work please
6. Let |V(12)) be a state on H") 8 H2). Let {|k)} be an orthonormal basis for H") and {\j)} an orthonormal basis for H2). Show that |V(12)) = Ik) ® (k|V(12)) and
9.
GIuen that C Elis) in 'cartesian (oordinate sustem, points A(-2,2) B (4,2) and Cartesian (oordingte system, c Clis) in draw the altitudo of AA BC wIth respect to the vertex c and the base AB, find its leghtn,and dotormim the dma of Annr
please ans me in 20 mins
Show that the cmprenion A(ij) i a teussi iti inner product with if Huror B is au arbitrary please de it fort

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2.Use the Gram-Schmidt process to transtorn the lo usis {C!,?,-1),(0,2;-2), (५,।,०3 ,०io orthonor mal basis the EU Clidean inner product an under in IR":