Answer with Step-by-step explanation:
We are given that
A and B are matrix.
A.We know that for two square matrix A and B
Then, 
Therefore, it is true.
B. det A is the product of diagonal entries in A.
It is not true for all matrix.It is true for upper triangular matrix.
Hence, it is false.
C.
When is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.
Hence, it is false.
D.An elementary row operation on A does not change the determinant.
It is true because when an elementary operation applied then the value of matrix A does not change.
Answer:
The probability is 14/55
Step-by-step explanation:
The word replacement contains 11 letters.
In which 4 letters are vowel = e,a,e,e
And 7 letters are not vowel = r,p,l,c,m,n,t
The probability of getting the vowel in the first try = 4/11
The probability of getting something that is not a vowel = 7/10.
The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.
Multiply the values:
=4/11 * 7/10
=28/110
=14/55
The probability is 14/55....
The value of b Lois gave to Clark to satisfy the given equation is -7.
The given parameters;
2x + 7 - x = 4x + 2b – 3x - 3b
To obtain the value of b, simplify the equation as follows;
2x + 7 - x = 4x + 2b – 3x - 3b
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<em>collect similar terms together</em>
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(2x - x) + 7 = (4x - 3x) + (2b - 3b)
x + 7 = x - b
(x - x) + 7 = -b
0 + 7 = -b
7 = -b
-7 = b
b = -7
Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.
Learn more about simplification of algebraic expression here: brainly.com/question/8956927
Answer: 2 197/1000
Explanation:
(1 3/10)^3
= (13/10)^3
= 13^3/10^3
= 2197/1000
= 2 197/1000
27 (circumference) ➗ 3.14 (pi) = 8.59 (diameter)
Distance across (diameter) would be closest to 9.
