Solve the 3 by 3 system of equations by using the matrix

Some ecologists divided a female bird population into three categories juvenile up to 1 yr old subadult 1 to 2 yr old and adult over 2 yr old They concluded hat the change in the makeup of the bird population in successive years could be described by the matrix equation below The numbers in the column matrices give the numbers of females in the three age groups after n years and n 1 years n 1 Sn 1 an 1 0 0 31 0 0 0 0 72 0 95 0 0 20 In Sn an a Suppose there are currently 920 juveniles 280 subadults and 2800 adults Determine the total number of female birds for each of the next 5 years In the first year there will be female birds Do not round until the final answer Then round to the nearest whole number as needed

Raya sent an encoded message back to Darnell that provides the location of the next clue 28 1271 41 80 44 C 77 755 13 240 2 14 1 To decode the message Darnell will need to use the inverse of the 2 x 2 encoding matrix A Complete the following problems to determine the next clue a What is the determinant of A Show your work or explain 3 points 3 4 1 2 A matrix of A Show how to get A 4 points

Determine whether CA CB is defined If it is defined express the result as a single matrix if it is not say not defined 44 B 2 A 06 4 11 5 1 C 52 52 21 58 2 21 0 Select the correct choice below and if necessary fill in the answer box to complete your choice A The expression CA CB is defined CA CB B The expression CA CB is not defined

17. Basketball Team A scored 4 three-point baskets, 22 two-point baskets, and 7 one-point baskets in a game versus team B. Team B scored 8 three-point baskets, 18 two-point baskets and 12 one-point baskets in the game. Write a 2 x 3 matrix that organizes this data. Let team A be row I, team B be row 2, three-pointers be column I, two-pointers be column 2, and one-pointers be column 3.

Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y - 2z = 4 3x - y + 2z = 3 5x + 5y + (a²-11)z = a +8

Find the coordinate matrix of p relative to the standard basis for P3. p = 17 + 118x + 3x²

Consider the following system of equations. x+y+z=1 2x + 2y = 6 3x + 4y -z = 13 a) Write the system as an augmented matrix. buse row operations to write the augmented matrix from part (a) in row echelon form. Show your work, clearly label each row operation used. c) Using your final matrix from part (b), solve for the values of x, y, and z for the solution to the system of equations. Write your solution. If the system has no solution, write "inconsistent'".

Consider the following matrix: Step 3 of 3: Determine the value of C11, if possible. If the element indicated is not in the matrix, state "None".

Solve the system by using the inverse of the coefficient matrix. -x+ 3y=9 6x-17y - 50 What is the inverse of the coefficient matrix? (Type an integer or simplified fraction for each matrix element.)

Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. x-10y-35z=3 -5x+11y+58z=-15 x-2y-11x=3 x=________________ y=________________ z=________________