of4. Suppose A(a) [1A = [2[21]-(b) [4positive integer n.+ Compute A², A³, and A4. Use these to conjecture a formula for An for anyPAGE 7What is the matrix power A57 ?

Answered: Image /qna-images/answer/3102d554-f682-42e1-a301-b448d6b1aa97.jpg

Answered: 1. Suppose A = [41] PAGE 7 (a) [1…

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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The table below shows the number of tickets sold for seats in the stalls (S), circle (C) and upper circle (U) of a theatre for a show on Monday night and Tuesday night. (a) S 285 (c) Monday с 268 U S 182 279 Tuesday с 275 U 177 Represent this information in the 2 x 3 matrix A, so that A₁₁ is the number of stalls tickets sold for Monday and A2,3 is the number of upper circle tickets sold for Tuesday. Ticket prices to sit in the stalls, circle and upper circle were $88, $119 and $78 respectively. (b) Represent the ticket price information in matrix B so that matrices A and B can be multiplied together to create a meaningful result. State the order in which matrices A and B must be multiplied together, and determine the result of this multiplication, matrix M. (d) State the night on which the value of ticket sales was highest and calculate by how much the sales on this night exceeded the other night.

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1. Suppose A = [41] PAGE 7 (a) [1 Compute A², A³, and A4. Use these to conjecture a formula for A™ for any positive integer n. What is the matrix power A57 ? (b) [4