Matrices. Determinants. Systems of linear equations

ELABORATIONS OF PRACTICAL CLASSES

PRACTICAL CLASS № 1.

Matrices. Determinants. Systems of linear equations

Theoretical questions:

1. The concept of matrix;

2. Matrix operations: addition of matrices, multiplication of matrix by a number, matrix multiplication;

3. Calculating determinants of 2×2 and 3×3 matrices;

4. Solving systems of linear equations by matrix method;

5. Solving systems of linear equations by Cramer's rule;

6. Investigation compatible of system;

7. Solving systems of linear equations by Gauss's method.

Classroom assignments:

1. Matrixes and are given. Find 3А+2В.

2. Find matrix Х, if:

3. Calculate: а) ;

б) АВ, if: .

4. Calculate АВ and ВА, if: , .

5. Calculate D= ABC-3E, if:

6. Find the values ​​of matrix polynomials:

а) , если

б)

в)

7. Calculate determinants:

8. Prove that , if

9. Solvesystems of linear equations by matrix method, by Cramer’s formula, investigate systems on compatibility, and solve them by Gauss's method:

a. b. c.

10. Investigate systems on compatibility and, in case of compatibility, solve them by Gauss's method:

a. b. c.

Поиск по сайту: