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 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) б) в) 7. Calculate determinants:
8. Prove that
9. Solvesystems 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.
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and 
are given. Find 3А+2В.
;
.
, если 
, if
b. 
c. 
b. 
c. 
