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yarga [219]
2 years ago
12

If a finite set S of nonzero vectors spans a vector space V , then some subset of S is a basis for V . True or False

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
3 0
<h3>Answer: True</h3>

Explanation:

This theorem doesn't have a name unfortunately. So searching it out is a bit tricky if you don't know the right way to word things. Luckily it wasn't too hard of a find, and I managed to track it down in a linear algebra textbook.

Check out the screenshot below for the snippet of the theorem and the corresponding proof. The book simply refers to it as "theorem 1.9", which again, is an unfortunate choice of naming.

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X² + 5x - 24, factor
kobusy [5.1K]

Answer:

{x}^{2}  - 8x + 3x - 24 \\  - x(x - 8)3(x - 8) \\ (3 - x)(x - 8)

6 0
3 years ago
3(1 – 2x) &gt; 3 – 6х help
coldgirl [10]

Answer:

<h2>\huge \: x \in ∅</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • inequality
  • distribution
  • PEMDAS
<h3>given:</h3>
  • 3(1  -  2x) > 3 - 6x
<h3>to solve:</h3>
  • x
<h3>let's solve:</h3>

step - 1  : define\\ 3(1  -  2x) > 3 - 6x

step -  2: distribute\\ 3  -  6x > 3 - 6x

step - 3  :  \\ add \: 6x \: to \: both \: sides

3  -  6x  + 6x> 3 - 6x + 6x

3 > 3

\therefore \: the \: statement \: is \: false \: for \: any \: value \: of \: x \: because \: both \: sides \: are \: identical

therefore,

x \in ∅

4 0
3 years ago
Find the slope of 4x-y=9
lakkis [162]

4xAnswer: y=9-4x

Step-by-step explanation: Subtract 4X from both sides

7 0
3 years ago
Is the figure a rectangle? Explain.
luda_lava [24]

The correct option is b. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

<h3>How to explain the information?</h3>

The figure is a parallelogram and one diagonal measure 28 units.

In this case, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

Therefore, the correct option is B.

Learn more about rectangles on:

brainly.com/question/25292087

#SPJ1

5 0
2 years ago
Simplify each expression using the laws of exponents. No negative exponents should be in your final answer. (On the image attach
Cloud [144]

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

by \: simplifying \: the \: given \: expression \: using \:  \\ law \: of \: exponents \: we \: get \\  \frac{15 {x}^{15}  {y}^{ - 3}  {z}^{4} }{18 {x}^{18}  { {y}^{4}  {z}^{ - 4} }^{} }  \\   = \frac{5  \: {x}^{ - 3}  {y}^{ - 7} {z}^{8}  }{6}  \\ we \: may \: also \: write \: as \\  =  \frac{5 {z}^{8} }{6 {x}^{3}  {y}^{7} }

formulae \: used  \ \: : \\  \frac{ {x}^{m} }{ { {x}^{n} }^{} }  =  {x}^{m - n}  \:  \:  \: and \\  {x}^{ - m}  =  \frac{1}{ {x}^{m} }

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
Read 2 more answers
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