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3. Matrices A, B are given. A = (2 3 2 1), B = Calculate AB, BA. 3231 1.

3. Matrices A, B are given. A = (2 3 2 1), B = Calculate AB, BA. 3231 1.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Matrices A, B are given. A = (2 3 2 1), B = Calculate AB, BA. 1 1 = (; }), 3 = (4 3), c = ; ) 2. Matrices A,B,C are given. A = 1 2. Find productions; A * (B × CT), A-1* B * C-1 (1 2 2Y 3. Calculate the determinant of matrix, using 2 methods; A = 111 4. Prove that if we have A?=A then A-A. 1 2 2 5. Soleve the matrix equation ABX = C, where A =12 2), B = (120),C = (1 1 2 \1 3 1/ (1 0 1 1 1 1 %3D 1 1 1 1 2 1, 15 — а 2 1| 6. It is given that A = 2 1-a 0 = 0. Find a. l1 0 1- al x + 3y + 2z = 5 7. Solve the linear system using the three methods {2x + 3y + 2z = 5 3x + y + 2z = 3 8. Define the eigenvalues and eigenvectors. Find them for the matrix A = 9. For the matrix A we have k, X which are the eigenvalue and eigenvector. Find them for the matrix A?. 10. Find the simetric matrix for the quadratic form Q(x1, x2, x3) = xỉ + 3x3 + x1X2 – X1X3 11. A company sells two sorts of packages; package I contains fruits A,B,C with 2, 3, 5 kg each Package Il contains A, B, C with 2,4,6 kg each. The company has 100,180,380 kg stock for each of fruits. The revenues Am thMels 1e of 1nd O for pacOes. Find the number of packages the company has to sell in order to have the max revenue.
Transcribed Image Text:1. Matrices A, B are given. A = (2 3 2 1), B = Calculate AB, BA. 1 1 = (; }), 3 = (4 3), c = ; ) 2. Matrices A,B,C are given. A = 1 2. Find productions; A * (B × CT), A-1* B * C-1 (1 2 2Y 3. Calculate the determinant of matrix, using 2 methods; A = 111 4. Prove that if we have A?=A then A-A. 1 2 2 5. Soleve the matrix equation ABX = C, where A =12 2), B = (120),C = (1 1 2 \1 3 1/ (1 0 1 1 1 1 %3D 1 1 1 1 2 1, 15 — а 2 1| 6. It is given that A = 2 1-a 0 = 0. Find a. l1 0 1- al x + 3y + 2z = 5 7. Solve the linear system using the three methods {2x + 3y + 2z = 5 3x + y + 2z = 3 8. Define the eigenvalues and eigenvectors. Find them for the matrix A = 9. For the matrix A we have k, X which are the eigenvalue and eigenvector. Find them for the matrix A?. 10. Find the simetric matrix for the quadratic form Q(x1, x2, x3) = xỉ + 3x3 + x1X2 – X1X3 11. A company sells two sorts of packages; package I contains fruits A,B,C with 2, 3, 5 kg each Package Il contains A, B, C with 2,4,6 kg each. The company has 100,180,380 kg stock for each of fruits. The revenues Am thMels 1e of 1nd O for pacOes. Find the number of packages the company has to sell in order to have the max revenue.
10. Find the simetric matrix for the quadratic form Q(x1, x2, x3) = xỉ + 3x3 + x,x2 - X1x3 11. A company sells two sorts of packages; package I contains fruits A,B,C with 2, 3, 5 kg each Package Il contains A, B, C with 2,4,6 kg each. The company has 100,180,380 kg stock for each of fruits. The revenues from the sells are 10$ and 12 $ for the packages. Find the number of packages the company has to sell in order to have the max revenue. 12. Solve the PPL problem with graphic method 2x+ 3y < 6 (3х + 2у 2 6 dhe f: 5х + 4y maх
Transcribed Image Text:10. Find the simetric matrix for the quadratic form Q(x1, x2, x3) = xỉ + 3x3 + x,x2 - X1x3 11. A company sells two sorts of packages; package I contains fruits A,B,C with 2, 3, 5 kg each Package Il contains A, B, C with 2,4,6 kg each. The company has 100,180,380 kg stock for each of fruits. The revenues from the sells are 10$ and 12 $ for the packages. Find the number of packages the company has to sell in order to have the max revenue. 12. Solve the PPL problem with graphic method 2x+ 3y < 6 (3х + 2у 2 6 dhe f: 5х + 4y maх
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