Содержание
- 2. Barnett/Ziegler/Byleen Finite Mathematics 11e Matrix Equations Let’s review one property of solving equations involving real numbers.
- 3. Barnett/Ziegler/Byleen Finite Mathematics 11e Basic Properties of Matrices Assuming that all products and sums are defined
- 4. Barnett/Ziegler/Byleen Finite Mathematics 11e Basic Properties of Matrices (continued) Multiplication Properties Associative Property: A(BC) = (AB)C
- 5. Barnett/Ziegler/Byleen Finite Mathematics 11e Basic Properties of Matrices (continued) Equality Addition: If A = B, then
- 6. Barnett/Ziegler/Byleen Finite Mathematics 11e Solving a Matrix Equation Reasons for each step: Given; since A is
- 7. Barnett/Ziegler/Byleen Finite Mathematics 11e Example Example: Use matrix inverses to solve the system
- 8. Barnett/Ziegler/Byleen Finite Mathematics 11e Example Example: Use matrix inverses to solve the system Solution: Write out
- 9. Barnett/Ziegler/Byleen Finite Mathematics 11e Example (continued) Form the matrix equation AX = B. Multiply the 3
- 10. Barnett/Ziegler/Byleen Finite Mathematics 11e Example (continued) If the matrix A-1 exists, then the solution is determined
- 11. Barnett/Ziegler/Byleen Finite Mathematics 11e Example Solution The product of A-1 and B is The solution can
- 12. Barnett/Ziegler/Byleen Finite Mathematics 11e Another Example Example: Solve the system on the right using the inverse
- 13. Barnett/Ziegler/Byleen Finite Mathematics 11e Another Example Example: Solve the system on the right using the inverse
- 14. Barnett/Ziegler/Byleen Finite Mathematics 11e Cases When Matrix Techniques Do Not Work There are two cases when
- 15. Barnett/Ziegler/Byleen Finite Mathematics 11e Application Production scheduling: Labor and material costs for manufacturing two guitar models
- 16. Barnett/Ziegler/Byleen Finite Mathematics 11e Solution Let x be the number of model A guitars to produce
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