A. False. Consider the identity matrix, which is diagonalizable (it's already diagonal) but all its eigenvalues are the same (1).
b. True. Suppose
is the matrix of the eigenvectors of
, and
is the diagonal matrix of the eigenvalues of
:
Then
In other words, the columns of
are
, which are identically
, and these are the columns of
.
c. False. A counterexample is the matrix
which is nonsingular, but it has only one eigenvalue.
d. False. Consider the matrix
with eigenvalue
and eigenvector
, where
. But the matrix can't be diagonalized.
no solution is the answer
Hi There!
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Full Question:
The box plots show the high temperatures in June and August for Denver in degrees Fahrenheit.
Which can you tell about the mean temperatures for these two months?
There is not enough information to determine the mean temperatures.
The mean temperature for August is higher than June's mean temperature.
The mean temperature for June is equal to the mean temperature for August.
The high interquartile range for August pulls the mean temperature above June's mean temperature.
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Interquartile Range Formula: Q3 - Q1
Interquartile Range for August: 10
Interquartile Range for June: 8
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Median = Mean
June: 82
August: 82
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Answer: The mean temperature for June is equal to the mean temperature for August.
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Hope This Helps :)
Answer:
The explicit formula is a
= 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a
= first term; a = a
+ d is a = a + (n - 1)d, where
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a = -1 and a = a - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a = -1 + (n - 1)(-6)
∴ a = -1 + (-6)(n) - (-6)(1)
∴ a = -1 + -6n - (-6)
∴ a = -1 - 6n + 6
→ Add the like term
∴ a = 5 - 6n
∴ The explicit formula is a = 5 - 6n
Answer:
the first one is 2.5, because if you divide the blue in half, you need to divide the yellow in half too
Answer 2:
copy and paste what i write or something:
3+2+1+1= 1 plum purple gallon. So for 3 gallons, you multiply each by 3.
So, Red tint=9
Blue tint=6
Yellow tint=3 and
White tint=3
