What matrix would the translate by [1, 2, 3] be?0 1 0 0 002000 0 3 00001 2 3 10 1 0 0 0010012300 1 0 0 00 2 0 000300000

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Answered: What matrix would the translate by [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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Section 3.2: Number 5(h) only!!
The following augmented matrices represent different Inear systems In x, y, z_Which of the linear systems has a unlque solution? 3 30 90 120 1 10 30 40 2 20 60 80 1253 0134 0011 12 15 15 A. в. C. 11 13 14 1 02 1
aliil JlaSl aL find (a) AB (b) BA (if they are defined) for the following matrixes 2 1 0-1 0 -3 4 1 6 4 0 2 8-1 7 6 -21 5 (a) 8 -3 19 2 7 (b) Not defined 1 -12 5 (a) 4 -2 19 2 7 3 3 -4 (b ) 10 16 26 46
4. Given the matrices A and B below, find the value of k so that B = A-'. [1 0 1 k -1 1 A = 1 1 1 B -1 1 lo 1 -1. -1 1 -1]
7.Find the inverse of the given matrix [1 A = 1 [1 a) A-¹ = b)A-¹ c) A-¹ d) A- = || = -1 1] 1 1 2 4 = 1 6 1 6 116 16 1 0 1 2 -3 1 26 -2 [1 1 -1 3 6 3 -3 -3 1 -3 2 30 1 -1 5 [1 6 1] 1 4] NON 1 6 4.
0 1 12 -7 9 -3 -3 invertible matrix P satisfying A = P-¹BP. Show that A P-1 = = 0 1- and B = -19 24 -16] -22 30 -18 27 -22 are similar matrices by finding an -21, P =
Which one of the following augmented matrices corresponds to a consistent (solvable) system? 0 2 0 0 1 -1 3 1 2 -1 | 0 -1 1 -1 0 1 0 0 1. 1 2 3 2. -1 3. 0 2 4. 1 -1 1 0 1 1 2 -1 5. Geeneen van bogenoemde nie. / None of the above.
2. Diagonalize the following matrix: 1 13 7 -5 -7 -1 1 6. 1 1 13 1 1 A. 0 6 -1 7 -5 -7 1 -1| -12 -1 1 1 -1 7 -1 1 1 1 1 1 1 13 5 1 1 1 В. |0 -9 1 -1 7 -5 -7 1 Lo -121 1 1 1 -1 7 -1 1 1 6. 1 1 1 13 5 1 С. |0 —6 -1 1 -5 -7 1 -1 Lo -12] 1 -1 -1 7 D. Not diagonalizable LO
3 0 18 A = 39 0 9 3. and Consider the matrices 18 If it is known that 13 B + A = (2C)" 1 2BT with certainty the matrix B that satisfies this equation corresponds to: -33 18 a) 0 -15 36 -9 -33 39 b) -21 6- 36 -9 39 -33 36 c) -15 -9 18 6. -33 39 18 0 21 9 39 d) 6. 27
1. Consider the following matrices A₁, A2, A3, B in the vector space M2,2 of 2 × 2 matrices, 1 2 ^ = []}]} 4-[+]}^^= [7] 8 [15/2 77/2] 1] A₁ B 2 22 1 0 1 9 A₂ A3 = Express B as a linear combination of A1, A2, A3 if B € span{A₁, A2, A3}, otherwise show why B span{A1, A2, A3}.

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What matrix would the translate by [1, 2, 3] be? 0 1 0 0 0 0 2 0 0 0 0 3 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 2 3 1 0 0 0 1 0 0 0 1 0 2 3 0 0 1 0 0 0 0 2 0 0 0030 0 0 0 0