Linear algebra control 10 jobs, Option 2

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Uploaded: 02.07.2013
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Linear algebra control 10 jobs, Option 2 Linear algebra control 10 jobs, Option 2

Task 1

Calculate the determinant

2.




Task 2


Solve the matrix equation


1.


Activity 3


Solve the system of equations:

1. The method of Gauss,
2. The method of Cramer.




Task 4

Solve the system of equations using the Gauss-Jordan transformations. Find one of the basic solutions and to find out whether it is supporting the plan.




Task 5

Find the eigenvalues \u200b\u200band eigenvectors


A =




Task 6

Explore sign constancy of expression.

4x2 + 1 3hu - 5u2.

Task 7

Find the value of a for which the data lines are parallel




Task 8

Find the value of a for which the data lines are perpendicular:



Task 9

List the properties of determinants.



Task 10

Describe the properties of solutions of systems of linear equations uncertain.

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