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aleksley [76]
3 years ago
11

Check the true statements below:

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

a) False

b) False

c) True

d) False

e) False

Step-by-step explanation:

a. A single vector by itself is linearly dependent. False

If v = 0 then the only scalar c such that cv = 0 is c = 0. Hence, 1vl is linearly independent. A set consisting of a single vector v is linearly dependent if and only if v = 0. Therefore, only a single zero vector is linearly dependent, while any set consisting of a single nonzero vector is linearly independent.

b. If H= Span{b1,....bp}, then {b1,...bp} is a basis for H. False

A sets forms a basis for vector space, only if it is linearly independent and spans the space. The fact that it is a spanning set alone is not sufficient enough to form a basis.

c. The columns of an invertible n × n matrix form a basis for Rⁿ. True

If a matrix is invertible, then its columns are linearly independent and every row has a pivot element. The columns, can therefore, form a basis for Rⁿ.

d.  In some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix. False

Row operations can not affect linear dependence among the columns of a matrix.

e. A basis is a spanning set that is as large as possible. False

A basis is not a large spanning set. A basis is the smallest spanning set.

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Elenna [48]

Answer:

A) 10.00

Step-by-step explanation:

10.00 x 0.8 is equal to 8 giving a total of 18.00. But it is incorrectly done  in the table.

6 0
2 years ago
Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of
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9514 1404 393

Answer:

  195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

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Referring to the attached diagram, we have ...

  tan(16°) = BT/MB

  tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

  BT = MB·tan(16°)

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Dividing by the coefficient of MB gives ...

  MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

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3 years ago
HELP PLEASE IM STUCK
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Answer:

y°= 51.30°

Step-by-step explanation:

Apply the formula for tangent of an angle

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Tan y= 10/8

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8 0
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X=5^m Make m the subject
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14500 is the answer I say
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How do you convert 5012 m to km
podryga [215]

Answer:

5.012 km

Step-by-step explanation:

to convert m to km, divide by a thousand

so,

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