1. Given the following matrices:123 4][4246 8A =B =1 3 5 7|-1 2 -3 4a. [(AC)B¹] - DTb. [(BD)¹C¹] + AEvaluate8[49175 342]C =13-2-11 2353-4-11D =2-1227 71 4-89-2 5.

Answered: Image /qna-images/answer/367e38cd-3f65-4d26-8777-1f45b624df10.jpg

Answered: 1. Given the following matrices: 1 2 [4…

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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1 1 Given the matrices, A= 2 and B = 3 5) find - 4 3 2.4- 3B and BA
Given the matrices: [2 2 -1] A = |4 0 Lo 5 -3] [2] D = [3 -2 6] 1. B = |1 C = Identify the following: a. Dimension of Mat A b. C22 and C1,2 c. D1,2 d. A3,2 and A2,1 е. Row vectors f. Column vectors g. Denote the 0 elements of Mat A
A = 1. Provided the following matrices, solve for the following: -2 2 1 -61 1 [12 -7 -31 7 9 0 B = 1-5 6 1 9 -68 2 -11 21 5 0 1.1. Cofactor of 0 in B 1.2. AXC 1.3. Adjoint of B 1 =-8 12 2 -7 0 6 3 9 4 9
Let the following matrices be: [1 -2] [3 [1 2 4-6 2 - -4²3) D= A = B= 2 -1 C= = 13 1 L3 2 8.- Obtain the following matrix: [D-¹] + [B * 2C]t = -1 13 1 3 1 21 13 1 2]
Which of the following matrices is positive definite?
1. Write the transpose of the following matrices: 3 1 – 4 a) 4 3 1 1 4 b) - 2 - 7 2 1 0 4 3 6 3 - 5
A tank contains 18 gallons of water to start, 8 gallons of water flow into the tank while 10 gallons of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in gallons) in the tank at time t in minutes. ? =0 A(0)= ? Solve the differential equation: A(t)= ? Note: use A,A', etc instead of A(t), A'(t) in your answers. After you set up your differential equation you will have to set it equal to zero so that WeBWorK will understand your answer, do this in a way so that the highest order derivative has a positive coefficient.
Please help with the attached
Given the matrices below, find AC. -2 4] Г5 —4 A 3 and C = 6 -5 1 6 -7 -3 7 2

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1. Given the following matrices: 1 2 [4 2 A= B = 8 1 14 -1 -3 a. [(AC)BT] — DT b. [BD)TCT] + A Evaluate 432 ܚ ܗ ܗ ܚ 4874 7 5 4 932 C= ܝ ܚ ܨܐ -2 -1 1337 2 5 -4 1 D= 2 ܂ -1 2 227 7 182 4 -8 9 -2 5