Math test responses of the 5 105 questions

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Task 1

Question 1: What is the Matrix?

• number;

• Table;

• vector;

• function;

• there is no right answer.

Question 2. What are the numbers in the index at the elements of the matrix?

• degree;

• The number of rows and columns;

• The order of the matrix;

• The number for which you need to multiply the series element;

• there is no right answer.

Question 3. How do you know the properties of determinants?

• 0;

• 5;

• 1;

• 2;

• 3.

Question 4: What is the record size of the matrix (2x4)?

• zero matrix;

• square matrix;

• The matrix has two rows and four columns;

• The determinant of the matrix is \u200b\u200bequal to 24;

• there is no right answer.

Question 5. Will the determinant of the second order, if swap line with the corresponding columns?

• No

• yes

• Yes, if one of the elements of any row is 0

• The correct answer is 2, and 3

• no right answer

Task 2

Question 1. What is Minor M11 matrix (3x3)?

• determinant obtained by calculating the determinant of our matrix by removing the first row and the first column;

• determinant equal to zero;

• determinant obtained by calculating the determinant of our matrix by removing the second row and the third column;

• determinant obtained by calculating the determinant of our matrix by removing the second row and the third column, taken with a minus sign;

• there is no right answer.

Question 2. How to get the M23?

• The matrix multiply by two;

• calculate the determinant of the matrix by removing the 1st row and the first column;

• there is no right answer;

• calculate the determinant obtained by deletion of the second row and the third column.

• All the answers are correct

Question 3. What is the cofactor?

• Mji;

• Aik = (- 1) i + to Mik;

• The determinant of the matrix;

• The order of the matrix;

• there is no right answer.

Question 4. Check expansion formula of the determinant of order 3 on the second line?

•  = a11A11 + A12 + A12 a13A13;

•  = a21A21 + A22 + A22 a23A23;

•  = a21A13 + A22 + A23 a31A33;

•  = a11A23 + A12 + A13 a12A33;

• there is no right answer.

Question 5: Is it possible to expand the determinant of the fourth order in the first line?

• no;

• if the 1-th element is not 0;

• sometimes;

• there is no right answer;

• Yes.

Activity 3

Question 1: Is it possible to add up the matrix A (2x3) and B (2x3)?

• no;

• Yes;

• Only if all the elements of the matrix B = 1;

• occasionally;

• there is no right answer.

Question 2: Is it possible to add up the matrix A (2x3) and B (3x4)?

• yes;

• No;

• always;

• occasionally;

• there is no right answer.

Question 3. What is the matrix is \u200b\u200bcalled a square?

• matrix in which the number of rows equals the number of columns;

• symmetric;

• The matrix in which the number of lines greater than the number of columns;

• matrix whose number of rows is less than the number of columns;

• there is no right answer.

Question 4: Is it possible to multiply the matrix A (2x2) by the number of C?

• no;

• Yes, but only if a = 0;

• yes, wherein the determinant time increase in C;

• there is no correct answer.

• Yes.

Question 5. Can I deduct the matrix A (2x3) of the matrix B (2x3)?

• no;

• always;

• sometimes;

• All the answers are correct

• there is no right answer.

Task 4

Question 1. What is zero - matrix?

• The rectangular matrix;

• matrix, all elements of which - zero;

• The matrix, which is on the main diagonal are zeros;

• The identity matrix;

• there is no right answer.

Question 2: Is it possible to multiply the matrix A (2x2) and B (2x2)?

Question 3: Is it possible to multiply the matrix A (3x4) and B (4x2)?

Question 4: Is it possible to multiply the matrix

Additional information

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

• 0;

• 1;

• 2;

• 3;

• 18.

Question 3. What is the matrix transpose?

• reset;

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

• Multiply the matrix E;

• elements numbered ii equal to zero

• elements numbered ii set equal to 1.

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

• vij-1;

•  vij;

• * ij;

• 5 vij;

• there is no right answer.

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

• 0;

• E;

• A +;

• A *.

• no right answer

Task 6.

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

• you can;

• No;

• always;

• occasionally;

• there is no right answer.

Question 2. What is the matrix of the system?

• Zero Matica;

• The matrix E;

• The matrix consisting of the coefficients of the free terms;

• there is no right answer;

• Matitsa consisting of coefficients of the left side.

Question 3. What is matichnoe equation?

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

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

• The equation of the form y = kx + B;

• The equation of the form 2 + 2 = 18;

• 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?

• yes;

• No;

• always;

• occasionally;

• there is no right answer.

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

1.;

2;

3;

4;

• 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;

• When = 0;

• The dot product of these vectors is 0;

• When = ;

• there is no right answer.

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

• If they - collinear;

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

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

• zero;

• there is no right answer.

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

• a = 0;

• =

• a = (c, d)

4 a-c = d

• no right answer

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

• yes;

• always;

• sometimes;

• there is no right answer.

• No.

Task 8

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

• yes;

• No;

• always;

• occasionally;

• there is no right answer.

Question 2. Are the vectors of vectors coplanar?

• no;

• Yes;

• always;

• occasionally;

• No answer.

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

• yes;

• always;

• sometimes;

• there is no right answer.

• No.

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

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

• The signs of the components of the vector-product;

• module multiplies the sine of the angle between the vectors;

• The length of the vector result;

• there is no right answer.

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

• they are equal to zero;

• proportional to their coordinates;

• they are positive;

• they are negative;

• 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