Math test responses of the 5 105 questions

Question. 2. What is the determinant of the identity matrix?

1. 0;

2. 1;

3. 2;

4. 3;

5. 18.

Question 3. What is the matrix transpose?

1. reset;

2. The element number ij ji put into place, and vice versa;

3. Multiply the matrix E;

4. elements numbered ii equal to zero

5. elements numbered ii set equal to 1.

Question 4. What is an element of the transposed matrix?

1. vij-1;

2.  vij;

3. * ij;

4. 5 vij;

5. there is no right answer.

Question 5: What is the product A • A-1?

1. 0;

2. E;

3. A +;

4. A *.

5. no right answer

Task 6.

Question 1: Is it possible to find the inverse of a matrix, the matrix having  = 0?

1. you can;

2. No;

3. always;

4. occasionally;

5. there is no right answer.

Question 2. What is the matrix of the system?

1. Zero Matica;

2. The matrix E;

3. The matrix consisting of the coefficients of the free terms;

4. there is no right answer;

5. Matitsa consisting of coefficients of the left side.

Question 3. What is matichnoe equation?

1. The equation of the form ax2 + Bx + C = 0;

2. The equation of the form x = A • C, where A, X, C - a matrix;

3. The equation of the form y = kx + B;

4. The equation of the form 2 + 2 = 18;

5. there is no right answer.

Question 4: Is it possible to solve the system of equations of the matrix method, if the determinant of the system is zero?

1. yes;

2. No;

3. always;

4. occasionally;

5. there is no right answer.

Question 5. What is the determinant of the second order?

1.;

2;

3;

4;

5. there is no right answer.

Task 7.

Question 1. How to record expansion in the unit vectors of the vector joining the points A (3, 5, 7) and B (5, 9, 12)?

1.;

2;

3;

4;

5.

Question 2. When the vector and collinear?

1 when = 0;

2. When = 0;

3. The dot product of these vectors is 0;

4. When = ;

5. there is no right answer.

Question 3. In which case the vector called linearly independent?

1. If they - collinear;

2. if the equality = 0 is possible only when 1 = 2 = ... = 0;

3. possibly, if at least one of the coefficients 1, ... k 0;

4. zero;

5. there is no right answer.

Question 4. Which expression is called a linear combination of the vectors?

1. a = 0;

2. =

3. a = (c, d)

4 a-c = d

5. no right answer

Question 5: Can the four vectors in the plane to be linearly independent?

1. yes;

2. always;

3. sometimes;

4. there is no right answer.

5. No.

Task 8

Question 1. Can four vectors in three-dimensional space to be linearly independent?

1. yes;

2. No;

3. always;

4. occasionally;

5. there is no right answer.

Question 2. Are the vectors of vectors coplanar?

1. no;

2. Yes;

3. always;

4. occasionally;

5. No answer.

Question 3. Whether the vector product and lie in the plane formed by these vectors, if it is not equal to zero?

1. yes;

2. always;

3. sometimes;

4. there is no right answer.

5. No.

Question 4: What will change in the vector product, if you change the order of the multiplied vectors?

1. The order of the components (coordinates) of the vector-product;

2. The signs of the components of the vector-product;

3. module multiplies the sine of the angle between the vectors;

4. The length of the vector result;

5. there is no right answer.

Question 5. What can you say about the coordinates of the vectors, and if they are collinear?

1. they are equal to zero;

2. proportional to their coordinates;

3. they are positive;

4. they are negative;

5. there is no right answer.

Task 9

Question 1. The mixed product of a vector or scalar (ie, the number)?

Question 2. The scalar product - the number or vector?

Question 3. The vector product - the number or vector?

Question 4: What is the unit (length) and the vector product?

Question 5: What is the unit of the mixed produc

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