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2 years ago

If A is a 3×3 singular matrix such that λ1=1−i is an eigenvalue of A, then the other eigenvalues of A are 0,1+i

Mathematics

1 answer:

astra-53 [7]2 years ago

5 0

Answer:

1 + i

Step-by-step explanation:

Given that A is a 3 * 3 singular matrix

one of its eigenvalue ( λ1 ) = 1 - i

Given that the determinant of a singular matrix is = 0

therefore the second eigen value ( λ2 ) = 1 + i

1 - i + 1 + i = 0

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At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?

kakasveta [241]

Answer:

x<1

Step-by-step explanation:

6 0

2 years ago

Rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation

Stolb23 [73]

Based on the table, the equation of the line of best fit to the nearest thousandths is equal to y = 1.671x + 4.699.

<h3>How to determine the equation of the line of best fit?</h3>

Mathematically, the equation of the line of best fit is calculated by using this formula:

y = mx + c

<u>Where:</u>

m is the slope.

c is the intercept.

Based on the table, the slope and intercept to the nearest thousandths are equal to 1.671 and 4.699 respectively.

Therefore, the equation of the line of best fit is equal to y = 1.671x + 4.699.

Read more on line of best fit here: brainly.com/question/4674926

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7 0

2 years ago

Read 2 more answers

A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

nika2105 [10]

Answer:

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061$

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

$CV=\frac{\bar X}{S}$

$S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

$\bar X={\frac{1}{n} \sum_{i=1}^n x_i$

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061$

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

7 0

3 years ago

Consider the transformations of a rectangle ABCD to produce a rectangle DEFG. Which sequence of Transformations results in recta

liraira [26]

Answer:

Step-by-step explanation:

Rotations preserve shape <u>and</u> size, but a dilation with a factor of 3, no matter where in the sequence of transformations it is, results in a shape 3 times larger. So rotation followed by the dilation will end up being a rectangle similar to the original but 3 times its size.

5 0

3 years ago

BRAINLIST ASAP

kifflom [539]

Answer:

25.50

Step-by-step explanation:

-5 notebooks $2 each

-4 pencils $1.50 each

-2 packs of markers $3.75 each

5(2)+4(1.50)+2(3.75)

$23.5

23.5 times 8.5/100

1.9975

plus 23.5

25.4975

rounded to 25.50

6 0

2 years ago