Linear algebra control

Replenishment date: 03.12.2013
Content: 31203130954383.doc (1.02 MB)
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Description
Examination in linear algebra.


Task 1

Calculate determinant

2. 3.




Task 2


Solve matrix equation






Task 3


Solve the system of equations:

1.the Gauss method,
2. by Cramer's method.

K - the number of your option.




Task 4

Solve the system of equations using the Jordan-Gauss transforms. Find one of the baseline solutions and find out if it is a baseline plan.


1. 2



3.



7


Task 5

Find eigenvalues ​​and eigenvectors of a matrix


... 3.



Task 6

Explore the constancy of expression.

1x4 + 2xy - 2y4.


Task 7

Find the value of the parameter a at which the data lines are parallel

2х-3у+5=0, 4х+ау+К=0.




Task 8

Find the value of the parameter a, at which the data lines are perpendicular:

2х-3у+5=0, 4х+ау+К=0.


Task 9

List the properties of the determinants.



Task 10

Describe the properties of solutions to indefinite systems of linear equations.
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