Glossary
compatible – совместный; determinate – определенный
basic – основной; auxiliary – вспомогательный
boots – сапоги; trainers – кроссовки; ankle boots – ботинки
inverse matrix – обратная матрица
regular matrix – невырожденная матрица; rank – ранг
to border – окаймлять; triangular – треугольный
sequential (successive) – последовательный
Exercises for Seminar 3
3.1. Solve
systems of linear equations: a)
;
b)
;
c)
;
d)
;
e)
;
f)
.
3.2. Find
the inverse matrix
to the matrix
3.3. Find
the inverse matrix
to the matrix
3.4. Find
the inverse matrix
to the matrix
3.5. Find the ranks of matrices:
a)
b)
c)
;
d)
3.6.
Determine the compatibility of the following system of equations by
the Kronecker-Capelli theorem:
.
Exercises for Homework 3
3.7. Solve
systems of linear equations: a)
;
b)
;
c)
;
d)
;
e)
;
f)
.
3.8. Find the inverse matrix to the matrix A:
a)
b)
c)
3.9. Solve the system of equations by the method of inverse matrix:
.
3.10. Solve systems of equations by the Gauss method:
a)
b)
c)
3.11. Find ranks of matrices:
a)
b)
c)
d)
3.12.
Determine the compatibility of the following system of equations by
the Kronecker-Capelli theorem:
.