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Galina-37 [17]
3 years ago
14

Determine whether multiplication by A is one to one linear transformation

Mathematics
1 answer:
lara [203]3 years ago
5 0
To know if the given matrix is one to one linear transformation, Row reduce the Matrix A and if it has free variables in it it means it is not a one to one linear transformation.

So, we take A and apply Row Operation and get the following matrix
 
1 0 0
0 1 0
0 0 0

As, it has free variables in it, it means it is not a one to one linear transformation.

Hope it helps :)
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The area of a rectangle is 20 square meters. How long is the length, if the width is 4 meters?
Brums [2.3K]

To find, the length, divide the area by the width:

Length = 20 / 4 = 5 meters.

4 0
3 years ago
Help Please: Two boats start their journey from the same point A and travel along directions AC and AD, as shown below: What is
Roman55 [17]

Answer:

  230.9 ft

Step-by-step explanation:

The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2

In ∆ABC, BC = AB/√3 ≈ 115.47 ft

In ∆ABD, BD = AB√3 ≈ 346.41 ft

Then the length CD is ...

  346.41 ft -115.47 ft = 230.94 ft

The distance CD is about 230.9 ft.

8 0
4 years ago
Ms. Francis is planning a birthday party for her daughter. There will be 22 children at the party, and in order to seat them all
Oxana [17]
Ms Francis would need to rent 6 tables in order to get everyone their own side.

She could have all the children, sitting at their tables, having their own side, but the 6th table just having the two other kids.
Ms Francis shouldn’t be having such a large party in the midst of a pandemic.
5 0
3 years ago
What is another way to say 230 mm?
MArishka [77]

Answer:23 cm

Step-by-step explanation:

Because it would equal the same amount because there are 10 mm in a cm

7 0
3 years ago
Read 2 more answers
t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio
masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

A=\pi r^2

Where r = radius

Thus the area of the circular region

\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}

The area of the square is given by the formula:

=(side)^2

Thus the area of the given square

\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}

The probability of an event is given by the formula:

P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}

The probability that the dart land will be in the shaded region

=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}

Thus probability

\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0
1 year ago
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