Answer:
c. tr(AB) = tr(A)tr(B)
Step-by-step explanation:
The trace of a matrix is only valid for a square matrix, that is a n by n matrix. The trace of a matrix is the sum of all its diagonal elements. The following properties of trace holds for a matrix A and B with size n by n and a real number c.
i) The trace sum of two matrix is equal to the sum of their individual traces. That is:
tr(A + B) = tr(A) + tr(B)
ii) The trace of the product of a scalar and a matrix is the same as the product of the scalar and the trace of the product, that is:
tr(cA) = ctr(A)
iii) The trace of a transpose of a matrix is equal to the trace of the matrix, that is:
iv) The trace of a product of matrix is given as:
tr(AB) = tr(BA)
Answer:
Can you retake the picture it blurry
Step-by-step explanation:
Answer:
1234567890
Step-by-step explanation:
Answer:
- <em>D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter </em>
Explanation:
The word is not probably, which has 8 letters, but probability, which has 11 letters
<u>1. Hal</u>
Probability of drawing a vowel
- The vowels are: o, a, i, i, and y: 5
- The total number of letters in the bag is 11.
- Probability of vowel = 5 / 11
<u>2. Renee</u>
Probability of drawing a consonant
- The consonants are: p, r, b, b, l, t, and y: 7
- Probability of a drawing a consonant: 7 /11
<h2>Conclusion</h2>
As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,
- The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.
75 degrees because 42+63=105
180-105=x