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3 years ago

Can you think of any 2x2 matrices d for which cd = dc for all 2x2 matrices c? give 2 different examples of such matricesd.

1 answer:

6 0

For any arbitrary 2x2 matrices $\mathbf C$ and $\mathbf D$ , only one choice of $\mathbf D$ exists to satisfy $\mathbf{CD}=\mathbf{DC}$ , which is the identity matrix.

There is no other matrix that would work unless we place some more restrictions on $\mathbf C$ . One such restriction would be to ensure that $\mathbf C$ is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking $\mathbf D=\mathbf C^{-1}$ we'd get equality.

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Suppose M is the midpoint of line FG.

alukav5142 [94]

$A)\\|FM|=5y+13;\ |MG|=5-3y\\\\|FG|=|FM|+|MG|\\\\|FG|=(5y+13)+(5-3y)=2y+18\\\\B)\\|FM|=8a+1;\ |FG|=42\\\\|FG|=2|FM|\\\\2(8a+1)=42\\16a+2=42\ \ \ \ \ |subtract\ 2\ from\ both\ sides\\16=40\ \ \ \ \ |divide\ both\ sides\ by\ 16\\a=\frac{40}{16}\\a=\frac{5}{2}\\a=2.5$

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3 years ago

Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow

Orlov [11]

Answer: $A=944\ ft^2$

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

$A=(\frac{M+m}{2})h$

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

$M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft$

Knowing these values, you can substitute them into the formula:

$A=(\frac{36\ ft+23\ ft}{2})(32\ ft)$

Finally, you must evaluate in order to find its area. This is:

$A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2$

7 0

3 years ago

You buy some living room furniture: couch = $499.99, loveseat = $239.49, and rocker = $139.73. How much is your total purchase?

kondor19780726 [428]

$879.21
hope this helps :)

8 0

3 years ago

Read 2 more answers

I NEED HELP!

adoni [48]

Answer:

the correct answer would be 5 months

Hope this helps (:

4 0

3 years ago

Read 2 more answers

What is DA equal to? Brainiest if correct and please show your answer.

Naddik [55]

Answer:

<h2>DA is equal to 25 or BA</h2>

Step-by-step explanation:

ABC

ADC

Since we know that line CA is equal to line CA because of reflexive property
Angle BAC and DAC are equal because of definition of an angle bisector
Angle ABC and ADC are equal because of definition of an angle bisector
This will give us ASA, proving to us that all sides and angles are congruent (this was already given to us)
So, if BA is 25, and we know that BA is congruent to DA, this tells us that DA is 25

5 0

1 year ago