Given the input coefficient matrix for a hypothetical economy made up of only two industries as A =0.1 0. 3 0. 5 0.2. Provide an economic explanation for each of the elements in A

Q: A matrix raised to the 5th power is the matrix multiplied by itself five times, and the trace of a…

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Q: If A is a square matrix such that A2 = A, then (I-A)+A is equal to (A) (В) (C) I- A (D) I+ A

A: A is a square matrix such that: A2=A Now: (I-A)3 + A=(I-A)2(I-A)+A =(I2-2AI+A2)(I-A)+A = (I-2A + A)…

Q: I. Find the single matrix equal to the following: [0.3 0.1 0 03 [7001 1. A = 2. A = [0.7 [10001 lo.1…

A: Note: According to the guidelines only three parts will be answered please upload other parts…

Q: Consider the following matrix A, where 4 0 -7 0 0 3 -5 2 A = 7 3 -6 4 -8 5 0 2 -3 0 0 9. -1 2

A: A matrix is said to be invertible if it's determinant value comes out to be non-zero.

Q: If E is an elementary matrix for which EA = B where: -7 -7 -9 - 2 - 9 - 4 A = 5 6 3 - 2 - 1 8 -7 -7…

A: Elementary matrix is a matrix which is obtained by performing only ONE elementary operation. e.g.…

Q: Find the rank of the following matrix. rank(A)- Question 8 grade: 0 2 1 1 1 2 1 1 1 2 1 1 1 2 1

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Q: If A is an n×n matrix with Col A​ = Rn​, how many solutions will there be to Ax​=b​, for any b in…

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Q: In the given question find an elementary matrix E such that B=EA.

A: given,       A=21-13  ,  B=-1321

Q: If A is an m · n matrix where A· A is defined, and k e N, recursively define A*

A: If A is a m × n matrix where A • A is defined and k lies in N then we have to recursively define Ak…

Q: Question 28) Determine whether the given matrix is elementary. (a) (b) (c) (d) 외 1 0 -5 1 -5 1 10 1…

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Q: Consider a matrix of size 2 × 5. The Rank+Nullity of this matrix equals O 2 07 3.

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Q: For a skew symmetric odd ordered matrix A of integers, which of the following will hold true: * det…

A: det(A)=0 The determinant of a skew symmetric orderd matrix is always zero.

Q: One of the following is not an elementary matrix 100 a) 010 b) 0 60 00 1 00 1 [100 00 1 c) 01 2 d)…

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Q: Consider the following matrix: Let A= [-26 -7] [-13 17] [6 -49] [35 45] [5 -4] Step 1 of 3 :…

A: Consider the given matrix A=-26-7-13176-4935455-4

Q: .

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Q: If A is an n×n matrix with Col A​ =Rn​, how many solutions will there be to Ax​=b​, for any b in…

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Q: Suppose that the economy of a small nation has an electronics industry, a steel industry, and an…

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Q: 1 Diagonalize the given matrix if possible: A 4 -1 1 0 4 0 D = and P 0 2 1 3 4 4. D = 1 and P = -4…

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Q: Given the matrix A = Matrix B is obtained from A by multiplying a row of A by -5, then det(B) is ___…

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Q: 1. Given the input-coefficient matrix for a hypothetical [0.1 0.51 0.3 0.2 economy made up of only…

A: Given that,

Q: If E is an elementary matrix for which EA = B where: 1 3 - 3 -3 -1 -1 2 A = 3 2 - 2 - 2 - 2 3 -2 19…

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Q: 8. Find the matrix exponential eat, where [ (a) A = -1 -1 1 -3

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Q: Example 22 Matrix B shows the number of sightings of rare birds made by members of a birdwatching…

A: a. (i) Given  B=13342521135710P=1111Q=111 To find the product A=PB proceed as follows…

Q: Find the rank of the following matrix. rank(A)- Question 8 grade: 0 1 2 1 1] 1 2 1 1 1 2 1 0 1 1 2…

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Q: (a) The matrix ( (AB)-1 )T comes from (A-1 )T and (B-1 )T In what order?(b) If U is upper triangular…

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Q: If the characteristic poynomial ofa matrix A is der 21 -A)= -32°+32°+2 then det(2.4) =

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Q: Question 1 Determine the dimension of Null A and Col A for the matrix [-3 6 -1 1 -7] -2 2 3 -1 -4 5…

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Q: If you multiply this elementary matrix: [1 0 0 0] 0 1 0 0 0 0 1 0 E 0 0 0 2 by A to form EA, it has…

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Q: Consider the following matrix: 3 4 A 1 2 -1 b -3 1 If rank(A) = 2, a + b =?

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Q: In applying EROs to find the Inverse of a 3x3 matrix C, the final tableau was generated as 1   0   0…

A: given: In applying EROs to find the Inverse of a 3x3 matrix C, the final tableau was generated as1…

Q: Consider the open economy described by the accompanying table, where the input is in dollars needed…

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Q: a) If a n x (n + 5) matrix has rank n, find dim Nul A, dim row A and rank A".

A: Given n=2 Matrix A is 2×7 matrix  We need to find dim(Nul A) ,dim(row A) and rank AT

Q: If AT = A-1, where A is a real matrix, then A is

A: When transpose of A equal inverse of A , then A is

Q: 3. Show that for any n x n matrix A of rank r, we have ||4|| < ||4||ES VFl|4||.

A: To show that: A≤AF≤ rA  for any n×n matrix A of rank r.

Q: Question no. 04: Find the minors and co-factors of C12; C2, C32, C33, C33 of the given matrix [7 -12…

A: Given: A=7-1208-511-9-1-19 To Find: Minors and cofactors of the elements a12, a22, a32, a33, a23 of…

Q: Consider the following matrix: Let D= [5 1 -12] [4 -7 -3] [-3 -14 -2]  Step 1 of 3 : Determine…

A: Consider the provided matrix, D=51-124-7-3-3-14-2 Determine the order of D.

Q: One of the following is not an elementary matrix 100 100 a) 010 b) 060 00 1 001 100 001 c) 012 d)…

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Q: •(b) A = B:

A: Given,        A=-1201,   B=1-201

Q: The following problem refers to a closed Leontief model. Suppose the technology matrix for a closed…

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Q: If A E Mpx, (C) nXn is a square matrix, and B is unitarily similar to А, then A and В have the same…

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Q: For a skew symmetric even ordered matrix A of integers, which of the following will not hold true: *…

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Q: In questions 14-15, suppose that A, B, C, D, and E are matrices with the fol- lowing sizes: A B C (4…

A: GIVEN THAT  A,B,C,D, and E are matrices with the following sizes:.      A            B…

Q: Find a Matrix P that nationalizes A, and check your answer y computing PDP¯1 0 00 0 0 0 30 1

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Q: 13. Reduce the following matrix to reduced echelon form and find its rank. 1 2 2 -1 -1 -5 1 2 3 4 -2…

A: According to question, Given matrix, 122-1-1-51234-2-3

Q: If A is a 2x2 matrix such that trace(A) = det(A) = 3, then what is the value of trace of (A-!) ?

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Q: 10. Suppose A is the n x n zero matrix (where all entries of A are zero), describe the solution set…

A: We have to find the solution set of system.

Q: One of the following is not an elementary matrix 100 100 a) 00 1 b) 0 -5 0 020 0 0 1 104 001 c) 010…

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Q: 1. A is a 22 matrix and det (A) - 4. what is det (3A)7 O 12 O 24 O 16 O 36

A: det(A)=4

Q: If A is a 2 x 2 matrix such that det (A) = -3 then det(5A) equals Select one: O - 75 O 15 O None of…

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Q: Mean Income ($1,000) 2020 Population 2030 Population Female (Millions) Male (Millions) Female…

A: Given, Mean income is given in the range of $1000.