4. Answer123XXI.each of the following for the given matrix and its reduced row echelon form:1 3 3 60 2M =-1 0 -3 00 3 -1 5HE00TO1 0 11 20 10 0 1 1 d. What is a basis for the Rowsp (M)?e. Find a basis for the Nulsp(M)?f. What is the nullity of M²?

The given matrix and its reduced row echelon form are:.We need to find the basis of row space, null…

Answered: 4. Answer each of the following for the…

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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Which of the following row operations on a matrix may not be an elementary operation ... Replace one row by the sum of itself and other two row9 (A) Replace one row by the difference of itself and another row: B Interchange the first row and the last row: Multiply all entries of a row by a number. (D
Reduce the ff. matrices to its reduced row echelon form. 2. B = 4 3 -3 8 -2 1 4 -7 -3 1 1. A = 2 3. C = 421OOM L 0 0 3 1 625 5 1 2314 4 4 -1 به مریکا به خود 7 35 -4 0 1 20 0 3 4 2 0 3 -4 3 1 96
13. Solve the following system of equations by using the inverse of the coefficient matrix: 8.4x - 1.2y = 10.8 3.5x + 2.6y (Round to the nearest tenth) = 6.4 (S 5.2 or W 5.2)
Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Department A Department B Steel Wood Plastic Dept. A Dept. B Company C 600 310 310 Co. C Steel Wood Plastic 60 40 40 60 70 60 Company D 560 190 390 Co. D
Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. C a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Dept. A Dept. B Department A Department B Steel Wood Plastic Co. C Company C 580 280 280 Co. D Company D — 570 180 380 Steel 70 60 Wood 60 40 Plastic 40 60

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4. Answer each of the following for the given matrix and its reduced row echelon form: 1 1 3 3 1 0 1 0 2 2-10-30 M = 3 6 0 1 2 0 1 0 0 0 1 1 03-15