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Iteru [2.4K]
3 years ago
10

True or False? Circle your answer and justify your choice.

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

a and c are true

Step-by-step explanation:

The question is about diagonalizability of a matrix.

a) Given that A is a 13x17 matrix over R

We get A^T A will be a square matrix 13x13.

Being a square matrix this is diagonalizable provided eigen values are independent.

True

b) A 3 × 3 matrix A with only one eigenvalue cannot be diagonalizable.

False.  For a square matrix to be diagonalizable, the eigen values should be independent.

c)  A matrix A of size n×n is diagonalizable if and only if A has n distinct eigenvalues. g

This is true, because for a square matrix with distinct eigen values we can see that it is diagonalizable.

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Find the amount of sap the maple syrup producer collected from each tree if the total amount (5 gallons) was redistributed equal
Afina-wow [57]
The picture in the attached figure

we know that
total amount of sap =[3*(1/4)+2*(3/8)+4*(5/8)+1*(1)]
total amount of sap =[(3/4)+(6/8)+(20/8)+(1)]
total amount of sap =[(3/4)+(3/4)+(10/4)+(4/4)]
total amount of sap =[20/4]
total amount of sap =5 gallons
total of trees=10

<span>[amount of sap collected from each tree]=total amount of sap/total of trees
</span>
[amount of sap collected from each tree]=5/10----> 0.5 gallons per tree

the answer is
0.5 gallons 

7 0
4 years ago
Read 2 more answers
The sum of the digits of a two digit number is 12. the difference of the digits is 2. find the number of the units digit is larg
ipn [44]
Solving simple equations
4n + 3 = 11
3 0
3 years ago
The number of visitors p to a website in a given week over 1-year period is given by p(t)=119+(t-83)e^0.02t , where t is the wee
KATRIN_1 [288]

The function p(t) for the number of visitors over 1-year is an exponential function

  • The increasing interval is: [33,52]
  • The decreasing interval is: [0, 33]
  • There is no critical point

<h3>The increasing and the decreasing interval</h3>

The function is given as:

p(t) = 119 + (t-83)e^0.02t

Start by plotting the graph of the function p(t).

From the graph (see attachment), we have the parameters to be:

  • Increasing: [33,52]
  • Decreasing: [0, 33]
  • Critical point = None

Hence, the function has no critical point

Read mroe about critical points at:

brainly.com/question/7805334

6 0
2 years ago
Determine which of the following equations, when graphed, intersect at the point (4, 0).
kakasveta [241]

Answer:

Hence, the following equations, when graphed, intersect at the point (4, 0):

x - y = 4 (1)

x + y = 4 (4)

Step-by-step explanation:

<em>" For the graph to intersect at the point (4,0) we mean that when y=0 , x must be equal to 4 or we could say that when x=4 then y=0".</em>

1)

x-y=4

now when y=0 then x=4.

Hence, the graph intersect at the point (4,0).

2)

-x-y=4

When y=0 in the equation then x=-4, Hence the point (4,0) does not lie on the graph of the given function.

3)

2x-y=7

When y=0 then x=7/2.

Hence the graph of the function does not intersect at the point (4,0).

4)

x+y=4

When y=0 then x=4.

Hence the graph of the given function intersect at (4,0).

5)

2x + y = 7

When y=0 then x=7/2.

Hence the graph of the function does not intersect at the point (4,0).

6)

2x + y = -7

When y=0 then x= -7/2.

Hence the graph of the function does not intersect at the point (4,0).


3 0
3 years ago
A ladder is placed against a wall, such that it touches the top of the wall 6 meters above the ground. The ladder is inclined at
luda_lava [24]

Your answer would be.

3.46 meters

-Yaoii

7 0
3 years ago
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