Nurs_Algebra and geometry
.doc
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Вопрос № 45
$$1
Let
,
.
Find
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$$2
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$$3
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$$4
$$5
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$$6
.
Вопрос № 46
$$1
Let
,
.
Find
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$$2
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$$3
s
$$4
$$5
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$$6
.
Вопрос № 47
$$1
Let
,
.
Find
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$$2
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$$3
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$$4
$$5
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$$6
.
Вопрос № 48
$$1
Given
.
Find a vector
such that
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 49
$$1
Given
.
Find a vector
such that
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 50
$$1
Given
.
Find a vector
such that
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 51
$$1
Write
the vector
as a linear combination of the vectors
.
$$2
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$$3
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$$4
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$$5
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$$6
Вопрос № 52
$$1
Write
the vector
as a linear combination of the vectors
.
$$2
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$$3
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$$4
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$$5
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$$6
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Вопрос № 53
$$1
Write
the vector
as a linear combination of the vectors
.
$$2
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$$3
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$$4
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$$5
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$$6
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Вопрос № 54
$$1
Write
the vector
as a linear combination of the vectors
.
$$2
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$$3
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$$4
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$$5
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$$6
Вопрос № 55
$$1
Write
as a linear combination of matrices
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 56
$$1 Write
as a linear combination of matrices
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$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 57
$$1
Write
as a linear combination of matrices
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$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 58
Write
as a linear combination of matrices
![]()
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 59
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 60
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
![]()
$$5
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$$6
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Вопрос № 61
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 62
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
;
$$5
![]()
$$6
.
Вопрос № 63
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 64
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 65
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 66
$$1
Find
the rank of matrix
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 67
$$1
Find
a dimension of the solution space
of the homogeneous system
.
$$2
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$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 68
$$1
Find
a dimension of the solution space
of the homogeneous system
.
$$2
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$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 69
$$1
$$1 Find
a dimension of the solution space
of the homogeneous system
.
$$2
![]()
$$3
;
$$4
;
$$5
;
$$6
.
$$1
Find a dimension of the solution
space
of the homogeneous system
.
$$2
![]()
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 70
$$1 Find
a dimension of the solution space
of the homogeneous system
.
$$2
![]()
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 71
$$1 Find
a dimension of the subspace
of
generated by vectors
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 72
$$1 Find
a dimension of the subspace
of
generated by vectors
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 73
$$1 Find
a dimension of the subspace
of
generated by vectors
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 74
$$1 Find
a dimension of the subspace
of
generated by vectors
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 75
$$1 Find
a dimension of the subspace
of
generated by vectors
,
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 76
$$1 Let
be linear operators on
defined by
.
Find
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 77
$$1 Let
be linear operators on
defined by
.
Find
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 78
$$1 Let
be linear operators on
defined by
.
Find
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 79
$$1 Let
be linear operators on
defined by
.
Find
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 80
$$1
Let
be linear operators on
defined by
.
Find
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 81
$$1
Let
be linear operators on
defined by
.
Find
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 82
$$1
Let
be linear operators on
defined by
.
Find
.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 83
$$1 Which
of the following mappings
are
linear?
$$2
;
$$3
;
$$4
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$$5
;
$$6
.
Вопрос № 84
$$1 Which
of the following mappings
are
linear?
$$2
;
$$3
;
$$4
![]()
$$5
;
$$6
.
Вопрос № 85
$$1 Which
of the following mappings
are
linear?
$$2
;
$$3
;
$$4
![]()
$$5
;
$$6
.
Вопрос № 86
$$1
Find
the matrix of the linear operator on
defined by
with respect to the usual basis.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 87
$$1
Find
the matrix of the linear operator on
defined by
with respect to the usual basis.
$$2
;
$$3
;
$$4
;
$$5
;
$$6
.
Вопрос № 88
$$1
Find
the matrix of the linear operator on
defined by
with respect to the usual basis.
