CATEGORIES:

# Algebra and geometry

Вопрос № 1

\$\$1 Let , be vectors in . Find the angle between these vectors.

\$\$2 0;

Вопрос № 2

\$\$1 Let , be vectors in . Find the angle between these vectors .

\$\$2 ;

Вопрос № 3

\$\$1 Let , be vector in . Find the angle between these vectors.

\$\$2 ;

Вопрос № 4

\$\$1 Let , be vectors in . Find the angle between these vectors

\$\$2 0;

Вопрос № 5

\$\$1 Let , be vectors in . Find the angle between these vectors.

\$\$2 0;

Вопрос № 6

\$\$1 Let , be vectors in . Find the angle between these vectors.

\$\$2 0;

Вопрос № 7

\$\$1 Let , be vectors in . Find the angle between these vectors..

\$\$2 ;

Вопрос № 8

\$\$1 Let , be vectors in . Find the angle between these vectors.

\$\$2 ;

Вопрос № 9

\$\$1 9) Let and be vectors in such that . Find if: .

\$\$2 2;

Вопрос № 10

\$\$1 Let and be vectors in such that . Find if: .

\$\$2 -1;

Вопрос № 11

\$\$1 Let and be vectors in such that . Find if: .

\$\$2 12;

Вопрос № 12

\$\$1 Let and be vectors in such that . Find if: .

\$\$2 ;

Вопрос № 13

\$\$1 Let and be vectors in such that . Find if: .

\$\$2 ;

Вопрос № 14

\$\$1 Let and be vectors in such that . Find the angle between and if: .

\$\$2 ;

Вопрос № 15

\$\$1 Let and be vectors in such that . Find the angle between and if: .

\$\$2 ;

Вопрос № 16

\$\$1 Determine so that vectors and are orthogonal, where .

\$\$2 ;

Вопрос № 17

\$\$1 Determine so that vectors and are orthogonal, where .

\$\$2

Вопрос № 18

\$\$1 Determine so that vectors and are orthogonal, where .

\$\$2

Вопрос № 19

\$\$1 Determine so that vectors and are orthogonal, where .

\$\$2

Вопрос № 20

\$\$1 Determine so that vectors and are orthogonal, where .

\$\$2

Вопрос № 21

\$\$1 Find and if .

\$\$2

Вопрос № 22

\$\$1 Find and if .

\$\$2

Вопрос № 23

\$\$1 Find and if .

\$\$2

Вопрос № 24

\$\$1 Find and if .

\$\$2

Вопрос № 25

\$\$1 Find and if .

\$\$2

Вопрос № 26

\$\$1 Solve the system .

\$\$2

Вопрос № 27

\$\$1 Solve the system .

\$\$2

Вопрос № 28

\$\$1 Solve the system .

\$\$2 No solution;

Вопрос № 29

\$\$1 Solve the system .

\$\$2

Вопрос № 30

\$\$1 Solve the system .

\$\$2 No solution;

Вопрос № 31

\$\$1 Solve the system .

\$\$2

Вопрос № 32

\$\$1 Determine so that the system has the unique solution.

\$\$2

Вопрос № 33

\$\$1 Determine so that the system has the unique solution.

\$\$2

Вопрос № 34

\$\$1 Determine so that the system has the unique solution.

\$\$2

Вопрос № 35

\$\$1 Determine so that the system has the unique solution.

\$\$2

Вопрос № 36

\$\$1 Determine so that the system has the unique solution.

\$\$2

Вопрос № 37

\$\$1 Determine so that the system has more the one solution.

\$\$2

Вопрос № 38

\$\$1 Determine so that the system has more then one solution.

\$\$2

Вопрос № 39

\$\$1 Determine so that the system has more then one solution.

\$\$2

Вопрос № 40

\$\$1 \$\$1 Determine so that the system has more then one solution.

\$\$2

Вопрос № 41

\$\$1 Determine so that the system has more then one solution.

\$\$2

Вопрос № 42

\$\$1 Let . Find .

\$\$2

Вопрос № 43

\$\$1 Let . Find .

\$\$2

Вопрос № 44

\$\$1 Let . Find .

\$\$2 does not exist;

Вопрос № 45

\$\$1 Let , . Find

\$\$2

Вопрос № 46

\$\$1 Let , . Find

\$\$2

Вопрос № 47

\$\$1 Let , . Find

\$\$2

Вопрос № 48

\$\$1 Given . Find a vector such that .

\$\$2 ;

Вопрос № 49

\$\$1 Given . Find a vector such that .

\$\$2 ;

Вопрос № 50

\$\$1 Given . Find a vector such that .

\$\$2 ;

Вопрос № 51

\$\$1 Write the vector as a linear combination of the vectors .

\$\$2

Вопрос № 52

\$\$1 Write the vector as a linear combination of the vectors .

\$\$2

Вопрос № 53

\$\$1 Write the vector as a linear combination of the vectors .

\$\$2

Вопрос № 54

\$\$1 Write the vector as a linear combination of the vectors .

\$\$2

Вопрос № 55

\$\$1 Write as a linear combination of matrices

.

\$\$2 ;

Вопрос № 56

\$\$1 Write as a linear combination of matrices

\$\$2 ;

Вопрос № 57

\$\$1 Write as a linear combination of matrices

\$\$2 ;

Вопрос № 58

Write as a linear combination of matrices

\$\$2 ;

Вопрос № 59

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 60

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 61

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 62

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 63

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 64

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 65

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 66

\$\$1 Find the rank of matrix .

\$\$2 ;

Вопрос № 67

\$\$1 Find a dimension of the solution space of the homogeneous system

.

\$\$2

Вопрос № 68

\$\$1 Find a dimension of the solution space of the homogeneous system

.

\$\$2

Вопрос № 69

\$\$1 \$\$1 Find a dimension of the solution space of the homogeneous system

.

\$\$2

\$\$1 Find a dimension of the solution space of the homogeneous system

.

\$\$2

Вопрос № 70

\$\$1 Find a dimension of the solution space of the homogeneous system

.

\$\$2

Вопрос № 71

\$\$1 Find a dimension of the subspace of generated by vectors .

\$\$2 ;

Вопрос № 72

\$\$1 Find a dimension of the subspace of generated by vectors .

\$\$2 ;

Вопрос № 73

\$\$1 Find a dimension of the subspace of generated by vectors .

\$\$2 ;

Вопрос № 74

\$\$1 Find a dimension of the subspace of generated by vectors .

\$\$2 ;

Вопрос № 75

\$\$1 Find a dimension of the subspace of generated by vectors , .

\$\$2 ;

Вопрос № 76

\$\$1 Let be linear operators on defined by . Find .

\$\$2 ;

Вопрос № 77

\$\$1 Let be linear operators on defined by . Find .

\$\$2 ;

Вопрос № 78

\$\$1 Let be linear operators on defined by . Find .

\$\$2 ;

Вопрос № 79

\$\$1 Let be linear operators on defined by . Find .

\$\$2 ;

Вопрос № 80

\$\$1 Let be linear operators on defined by . Find .

\$\$2 ;

Вопрос № 81

\$\$1 Let be linear operators on defined by . Find .

\$\$2 ;

Вопрос № 82

\$\$1 Let be linear operators on defined by . Find .

\$\$2 ;

Вопрос № 83

\$\$1 Which of the following mappings are linear?

\$\$2 ;

Вопрос № 84

\$\$1 Which of the following mappings are linear?

\$\$2 ;

Вопрос № 85

\$\$1 Which of the following mappings are linear?

\$\$2 ;

Вопрос № 86

\$\$1 Find the matrix of the linear operator on defined by with respect to the usual basis.

\$\$2 ;

Вопрос № 87

\$\$1 Find the matrix of the linear operator on defined by with respect to the usual basis.

\$\$2 ;

Вопрос № 88

\$\$1 Find the matrix of the linear operator on defined by with respect to the usual basis.

\$\$2 ;

Вопрос № 89

\$\$1 Find the matrix of the linear operator on defined by with respect to the usual basis.

\$\$2 ;

Вопрос № 90

\$\$1 Find the matrix of the linear operator on defined by with respect to the usual basis.

\$\$2 ;

Вопрос № 91

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 92

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 93

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 94

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 95

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 96

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 97

\$\$1 For the matrix , find the cofactor of the entry .

\$\$2

Вопрос № 98

\$\$1 For the matrix , find the cofactor of the entry .

\$\$2

Вопрос № 99

\$\$1 For the matrix , find the cofactor of the entry .

\$\$2

Вопрос № 100

\$\$1 Evaluate the determinant of the matrix .

\$\$2

Вопрос № 101

\$\$1 Evaluate the determinant of the matrix .

\$\$2

Вопрос № 102

\$\$1 Evaluate the determinant of the matrix .

\$\$2

\$\$3

\$\$4

\$\$5

\$\$6

Вопрос № 103

\$\$1 Evaluate the determinant of the matrix .

\$\$2

Вопрос № 104

\$\$1 Evaluate the determinant of the matrix .

\$\$2

Вопрос № 105

\$\$1 Let . Find .

\$\$2

Вопрос № 106

\$\$1 Let . Find .

\$\$2

Вопрос № 107

\$\$1 Let . Find .

\$\$2

Вопрос № 108

\$\$1 Let . Find .

\$\$2

\$\$3

Вопрос № 109

\$\$1 Let . Find .

\$\$2 Does not exist;

Вопрос № 110

\$\$1 Let . Find .

\$\$2 Does not exist;

Вопрос № 111

\$\$1 Let be the linear operator on defined by .Find .

\$\$2

Вопрос № 112

\$\$1 Let be the linear operator on defined by .Find .

\$\$2

Вопрос № 113

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 114

\$\$1 Let be the linear operator on defined by .Find .

\$\$2

Вопрос № 115

\$\$1 Let be the linear operator on defined by . Find .

\$\$2

Вопрос № 116

\$\$1 Find all eigenvalues of the matrix .

\$\$2

Вопрос № 117

\$\$1 Find all eigenvalues of the matrix .

\$\$2

Вопрос № 118

\$\$1 Find all eigenvalues of the matrix .

\$\$2

Вопрос № 119

\$\$1 Find all eigenvalues of the matrix .

\$\$2 Does not exist;

Вопрос № 120

\$\$1 Find all eigenvalues of the matrix .

\$\$2

Вопрос № 121

\$\$1 Find the slope and the segment cut out on the y-axis of the straight line .

\$\$2

Вопрос № 122

\$\$1 Find the slope and the segment cut out on the y-axis of the straight line .

\$\$2

Вопрос № 123

\$\$1 Find the slope and the segment cut out on the y-axis of the straight line .

\$\$2 .

Вопрос № 124

\$\$1 Find the equation of the straight line that passes through the origin and is parallel to the straight line ;

\$\$2

Вопрос № 125

\$\$1 Find the equation of the straight line that passes through the origin and is parallel to the straight line ;

\$\$2 ;

Вопрос № 126

\$\$1 Find the equation of the straight line that passes through the point and is parallel to the straight line .

\$\$2 ;

Вопрос № 127

\$\$1 Find the equation of the straight line that passes through the point and is parallel to the straight line .

\$\$2 ;

Вопрос № 128

. \$\$1 Find the equation of the straight line that passes through the point and is perpendicular to the straight line .

\$\$2 ;

Вопрос № 129

\$\$1 Find the equation of the straight line that passes through the point and is perpendicular to the straight line .

\$\$2 ;

Вопрос № 130

\$\$1 Find the equation of the straight line that passes through the point and is perpendicular to the straight line .

\$\$2 ;

Вопрос № 131

\$\$1 Find the equation of the straight line that passes through the point and is perpendicular to the straight line .

\$\$2 ;

Вопрос № 132

\$\$1 Find the equation of the straight line that passes through points and .

\$\$2 ;

Вопрос № 133

\$\$1 Find the equation of the straight line that passes through points and .

\$\$2 ;

Вопрос № 134

\$\$1 Find the equation of the straight line that passes through points and .

\$\$2 ;

Вопрос № 135

\$\$1 Find the equation of the straight line that passes through points and .

\$\$2 ;

Вопрос № 136

\$\$1 Find the equation of the straight line if it passes through the point and the angle between it and the x-axis is equal to .

\$\$2 ;

Вопрос № 137

\$\$1 Find the equation of the straight line if it passes through the point and the angle between it and the x-axis is equal to .

\$\$2 ;

Вопрос № 138

\$\$1 Find the equation of the straight line if it passes through the point and the angle between it and the x-axis is equal to .

\$\$2 ;

Вопрос № 139

\$\$1 Find the equation of the straight line if it passes through the point and the angle between it and the x-axis is equal to .

\$\$2 ;

Вопрос № 140

\$\$1 Find the angle between straight lines , .

\$\$2 ;

Вопрос № 141

\$\$1 Find the angle between straight lines , .

\$\$2 ;

Вопрос № 142

\$\$1 Find the angle between straight lines , .

\$\$2 ;

Вопрос № 143

\$\$1 Find the angle between straight lines , .

\$\$2 ;

Вопрос № 144

\$\$1 Find the angle between straight lines and .

\$\$2 ;

Вопрос № 145

\$\$1 Find the angle between straight lines and .

\$\$2 ;

Вопрос № 146

\$\$1 Find the angle between straight lines and .

\$\$2 ;

Вопрос № 147

\$\$1 Find the distance between the straight line and the point

\$\$2

Вопрос № 148

\$\$1 Find the distance between the straight line and the point .

\$\$2

Вопрос № 149

\$\$1 Find the distance between the straight line and the point .

\$\$2

Вопрос № 150

\$\$1 Find the distance between the straight line and the point

\$\$2

Вопрос № 151

\$\$1 Put the equation in standard form and find foci.

\$\$2

Вопрос № 152

\$\$1 Put the equation in standard form and find foci.

\$\$2

Вопрос № 153

\$\$1 Put the equation in standard form and find foci.

\$\$2

Вопрос № 154

\$\$1 Find the standard-form equation of the ellipse if it’s center is the origin and foci: , major axis vertices: .

\$\$2

Вопрос № 155

\$\$1 Find the standard-form equation of the ellipse if it’s center is the origin and foci: , eccentricity: .

\$\$2

Вопрос № 156

\$\$1 Find the standard-form equation of the ellipse if it’s center is the origin and foci: , major axis vertices: .

\$\$2

Вопрос № 157

\$\$1 Find the standard-form equation of the ellipse if it’s center is the origin and major axis vertices: , eccentricity: .

\$\$2

Вопрос № 158

\$\$1 Find the standard-form equation of the ellipse if it’s cente

Date: 2015-12-11; view: 636

 <== previous page | next page ==> Die Teilgebiete der Algebra | Determine k so that the system
doclecture.net - lectures - 2014-2021 year. Copyright infringement or personal data (0.056 sec.)