For Exercises 5-8 a. Evaluate the determinant of the coefficient matrix. b. Based on the value of the determinant from part (a), can an inverse matrix or Cramer's rule be used to solve the system? c. Solve the system using an appropriate method. x − 3 y + 7 z = 1 − 2 x + 5 y − 11 z = − 3 x − 5 y + 13 z = − 1
For Exercises 5-8 a. Evaluate the determinant of the coefficient matrix. b. Based on the value of the determinant from part (a), can an inverse matrix or Cramer's rule be used to solve the system? c. Solve the system using an appropriate method. x − 3 y + 7 z = 1 − 2 x + 5 y − 11 z = − 3 x − 5 y + 13 z = − 1
Solution Summary: The determinant of the coefficient matrix for the given system of equations is 0.
~
exp(10). A
3. Claim number per policy is modelled by Poisson(A) with A
sample x of N = 100 policies presents an average = 4 claims per policy.
(i) Compute an a priory estimate of numbers of claims per policy.
[2 Marks]
(ii) Determine the posterior distribution of A. Give your argument.
[5 Marks]
(iii) Compute an a posteriori estimate of numbers of claims per policy.
[3 Marks]
2. The size of a claim is modelled by F(a, λ) with a fixed a
a maximum likelihood estimate of A given a sample x with a sample mean
x = 11
=
121. Give
[5 Marks]
Robbie
Bearing Word Problems
Angles
name:
Jocelyn
date: 1/18
8K
2. A Delta airplane and an SouthWest airplane take off from an airport
at the same time. The bearing from the airport to the Delta plane is
23° and the bearing to the SouthWest plane is 152°. Two hours later
the Delta plane is 1,103 miles from the airport and the SouthWest
plane is 1,156 miles from the airport. What is the distance between the
two planes? What is the bearing from the Delta plane to the SouthWest
plane? What is the bearing to the Delta plane from the SouthWest
plane?
Delta
y
SW
Angles
ThreeFourthsMe MATH
2
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HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY