How many free variables does each augmented matrix have?a. Chooseb. Choosec. Choosed. Choose v041 200010100 100 1 0 0-8000 0000 0 010010-8000 015-10 -80000

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Answered: How many free variables does each…

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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Rank the following matrices
6. For each augmented matrix below, state the solution. Write the solution as an ordered triple, if appropriate. 10 003 0 1 0 -1 00 18 1 0 -6 11 | 0147 000-2 1029 01-85 0000
Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 not diagonalizable 60 0 -1 1 1 0-9 0 = 0 1 -1 - 12 1 1 90 0 06 0 = -1 0 0 0 - 12 9 0 0-6 0 0 -1 1 0 0 - 12 -1 1 1 10 1 1 −1 – 0 1 1 -1 – 1 1 13 5 7 -5 -7 -1 -1 7 1 13 5 - 1 - 1 86 7 -5 -7 -1 0 1 -1 7 1 1 0 -11 1 0 1 -1 1 1 13 5 7 -5 -7 -1 -1 7 1 1 - 1 1 -1 – 1 0 1 1
Select the answer which lists the sizes of the following matrices in order. 123 654 12 2 [1 2 3 4 5] 3 A. [3X2], [2X3], [1X5], [5X1], [3X3] B. [2X3], [3X2], [1X5], [5X1], [3X3] C. [2X3], [3X2], [5X1], [1X5], [3X3] O D. [3X2], [2X3], [5X1], [1X5], [3X3] OC.c[A] = [A]c OD. [A][A¹] = [I] 5 123 456 789 QUESTION 2 Which of the following are Always True for matrices A, B and constant c (select all that are true) A. [A] + [B] = [B] + [A] B. [A][B] = [B][A]
III. Used series of Elementary Row/Column Operations transform matrix given below into Row-Echelon Form (REF) or Reduced Row-Echelon Form (RREF). Fill in the blank box with the elementary operations for the given step and the corresponding result matrix. Use the word "over" without a space between the numerator and denominator to indicate the fraction bar or vinculum. Also, for the interchange symbol, write the word "interchange" with no spaces between the rows to be exchanged. For example, R2 is written as R2-2R1 R1 is written as (4over3)R1; -R2 is written as (-(1 over2)) R2; and R2-2R1 or -2R1+R2; and R2 R1 is written as R2interchangeR1. 3 [2 8 4 17) 2 14 5 1 5 10 -1 1. Elementary operations Step 1. Step 2. Step 3. Step 4. Step 5. Step 6. Step 7. Step 8. Step 9. Resulting Matrix UU OOL
Find the transpose of the following: In all of the matrix calculations below, you must show your work! ⌈ 1 5 9 13 ⌉ | 2 4 10 14 | | 3 7 11 15 | ⌊ 4 8 12 16 ⌋ ⌈ 4 ⌉ | 3 | | 2 | ⌊ 1 ⌋
Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 100 0 1 0 0 0 1 1 0 0 0 1 0 0 4 0 9 5 0 1 1 0 0 0 1 199 0 0 0 0 0 1 1 -2 0 1 0 0
312 Compute the adjoint matrix of A=3 2 2 1 2 3 Select one: 2 a. -7 8. 4 -5 3 1-2 b. -7 7 9. -5 2 -7 01 4 -5 1. 71 d. -7 7 7 -5 3 Windows

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How many free variables does each augmented matrix have? a. Choose b. Choose c. Choose d. Choose ✓ 04 1 2 000 1 0 100 10 0 1 0 0-8 000 0 000 0 0 1 0 0 10 -8 0 0 0 0 15-10 00 0 -8 0 1