3.9 .65 .68 .75 .7 A .6 .55 .4 .35 0 0 0 0 0.2 0 A is called a Leslie matrix. 1. What does the “.65" in the second row mean? Why are so many elements of this matrix zero? 2. Suppose that the initial population vector is [1 0 0 0 0 0 0 0 0 o] (measured in hundreds of thousands of individuals). Determine the population after 10, 20, 50, 80, and 100 years. 3. Is the long-term population stable? (i.e. does x; stabilize to some fixed numbers?) If so, compute them and say how you know the population is stable. If not, what can you say about the long-term age distribution? 4. Suppose that pollution lowers all the birth rates by 10%. How do your answers change? What about if it lowers survival rates by 10%? Or both? 5. Let's start fishing. Write f for the fishing rate: a number between 0 and 1 so that 100f% of fish in each age group are harvested each year. Write down a matrix B so that x41 = Bx. Answer problems 2 and 3 again for f = .2. 6. Suppose now that fish under three years of age are never harvested. Write down a matrix C so that x+1= Answer problems 2 and 3 again for f = .2. = Cx.

Q: What are the dimensions of the following matrix? 9 -9 -5 2 7 - 7 8 -2 -7 1 -2 3 9. -4 -9 2 -4 –2.

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Q: 5. (EA)™ + C 6. –2E + 5DT

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Q: Which of the following row operations on a matrix may not be an elementary operation Replace one row…

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Q: If A and B m-by-n matrices and C is an n-by-p matrix, then show that (A+B)C = AC + BC

A: Given Data: Order of Matrix A is m×n Order of Matrix B is m×n Order of Matrix C is n×p

Q: Express as a single matrix.

A: 4  25-337

Q: Compute -4 5 3 0 4129] 3 -4 -3 To enter your answer, click in the answer box. Then choose the…

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Q: What 3 by 3 matrix E21 subtracts 4 times row 1 from row 2? What matrix P32 exchanges row 2 and row…

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Q: 3 1 32 1 A = B = 2 2 654 1 3 1. What is the size of A? 2. What is the size of B? 3. Can you solve A+…

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Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

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Q: Reduce the following matrix to echelon form: 1 2 2) 4 -4 -4 57 0 2 2 15 (-11 3 6 5 2 ー4 -4 - 8c 16 3…

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Q: In this case, h = k = x = a. State the elementary row operation that transforms the first matrix…

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Q: What does it mean if a 3x3 matrix have 3 identical rows? How do you solve it? 2 -1 2 2 -1 2 2 2 -1

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Q: bollowing echelon jorm Convert the matrices into reduced -9 2 7

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Q: If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

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Q: Example 13 Les A-[³3] and [3] A= B= Find AB and BA if they exist.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. Reed Arena has 3 main concessions stands. At the A&M basketball game the other night, Matrix A…

A: Part a)  matrix A  = NSEP301724C252032D653875 matrix B  =  LMSP6.255.504.75C543D5.7554.50 matrix B'…

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Q: What are the dimensions of the following matrix? -9-2 685 -2 5 6 -3 X 8 -7 8-3

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Q: Exercise 11.2.3. (a) Let the entries of A and B be given by aij = 2¹+ and bij = 2-(i+j) for 1 ≤i, j≤…

A: Let A be 50 x 50 matrix and B be 50 x 50 matrix A =[ (aij)]     B = [(bij)] ai,j = 2i+j        bi,j…

Q: 1 31 C = 3 4 [2 59 1 A%3D B = D = 01 3 7 6. 1. What is the size of Matrix C? Size: 3X 2 2. Can…

A: We will use the property of matrices The answer is given below

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Q: Problem No.4 If 2 1 3 show that A - 2A? - 9A = 0 but A? - 2A - 9I# 0 A= 1 -1 2 1 2 1

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Q: PROBLEM E. Perform elementary row operation to the following matrix then label the REF and RREF. *…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.