a) Given the matrices:i)ii)^= ( ²₂ )A1010B = 0 -1- (₁ -²₁ ) C = (²) D = ( ²₁ ²)3Show that (AB)C: = A(BC)Find D-¹ b) The forces acting on a link of an automated equipment in equilibrium are show36 NF₁The equations for finding forces F₁ and F2 are given by:i)ii)F₁+F₂ = 364F₁-5F₂ = 0Write the equation in matrix form, AX=B.F2Find the values of F₁ and F2 using the relationship: X=A¹¹B.

a) Given that, A=010301-201B=210-143C=32D=23-15

Answered: Given the matrices: i) ii) 01 1 0 2 2 3…

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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Given the matrices: i) ii) 01 1 0 2 2 3 A 3 ^-(29) 8 - (-) -- »-( ) 01 B 0 = (²₂) D = 1 5 0 1 4 3 Show that (AB)C = A(BC) Find D-¹