Answer:
1) False
2) False
3) True
4) False
Step-by-step explanation:
1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.
2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.
3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.
4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.
<7 and <10 are each 84 degrees
Answer:
B
Step-by-step explanation:
2a+45=180
subtract 45 from both sides which equals 2a=135
divide both sides by 2 which would solve for a.
Answer:
A. 12p + 12q
Step-by-step explanation:
12(p + q)
= 12p + 12q
The equation can be simplified down by distributing, but cannot be simplied any further because there is no like terms.
The diagonals of the rhombus intersect at right angle. Then the value of x will be 32°.
<h3>What is a rectangle?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and equal.
Figure ABCD is a rhombus.
Its diagonals intersect at right angle.
Let the another angle be x. Then we have
x + 58° + 90° = 180°
x + 148° = 180°
x = 32°
More about the rhombus link is given below.
brainly.com/question/27870968
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