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Matrix. Operations with matrices. The inverse matrix. Determinants and their properties. Systems of linear equations
Theoretical questions: 1. The concept of matrix; 2. Matrix operations: addition of matrices, multiplication of a matrix by a number, matrix multiplication; 3. Calculating determinants of 2×2 and 3×3 matrices; 4. Solving systems of linear equations matrix method; 5. Solving systems of linear equations on Cramer's rule; 6. Investigation compatible system; 7. Solving systems of linear equations Gauss's method.
Classroom assignments: 1. Matrixes 2. Find matrix Õ, if: 3. Calculate: à) á) ÀÂ, if: 4. Calculate ÀÂ and ÂÀ, if: 5. Calculate D= ABC-3E, if: 6. Find the values of matrix polynomials: à) á) â) 7. Calculate determinants: 8. Prove that 9. Solve systems of linear equations matrix method by matrix method, by Cramer’s formula, investigate systems on compatibility, and solve them by Gauss's method: a. 10. Investigate systems on compatibility and, in case of compatibility, solve them by Gauss's method: a.
Homework. Theoretical material: The simplest problem of analytic geometry. Equations of a straight line on a plane. Vectors. Solve problems: 1.Calculate 2.Find ÀÂÑ, if: 3.Prove, that 4.Solve systems of linear equations matrix method by matrix method and by Cramer’s formula: a. 5. Investigate systems on compatibility and, in case of compatibility, solve them by Gauss's method:
Date: 2015-01-02; view: 1505
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