A simplex matrix for a standard maximization problem is given. 5 0 0 5 0 4 24 5. -6 0 8. 0 -6 0 1 14 0. 4 1 0 7. 7 0 23 6 0 0 610 2 (a) Write the values of all the variables (use x,, x2, X3, . .. ar X1 X2 %3D X3 $1 = S2 f =

Q: 4 1 34. The rank of the matrix A = 2 -1 is -7 -14 4 8 -1 (A) 1 (B) 2 (C) 3 (D) 0 (E) 4

A: To find The rank of a given matrix A.

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A: We have given all the important statement. We have to construct the linear programming problem.

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Q: 21

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Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

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Q: + 4x4 4.x1 + 4x2 + 2x1 + 5x2 + 7x3 + 4x4 10x1 + 5x2 -2x1 12 1 5x3 25 - 2x2 + 3x4 = -10 - | The first…

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Q: Dimensions: 2. Location of -3: For #2-3, simplify by adding or subtracting expressions that are…

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Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: [5 27 15. Investigate the type of the square matrix A = 15 -9 6 – 3 10 -6 4

A: Calculate the determinant:  5-3215-9610-64=5×-3×2111333222                   =0

Q: 1 3 3 - 4 1 A(x)=x² – A -2x+3 5 2

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Q: VI Using the matrix B and its inverse solve the following problems. [1 3 3 B = 1 4 3 1 3 4 7 -3 -1 1…

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Q: X1 – 2x2 + 3x3 ) 2х1 — Xә + 3хз 4x1 + x2 – x3 11 %3D 10 4

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Q: = 5.8. Let f₁(x) = x³ x² +1, f₂(x) = x³ + x² + x and f3 (x) = x³ + 2x²+3x+1 be three polynomials in…

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Q: 26 6 . Find the row-echelon form of a matrix B= 0 0 -1 258

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Q: 7. defined as Let A = [a] be a square matrix of size nx n. The trace of A, denoted as Tr(A), is n…

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Q: Determine a best rank-1 approximation, A₁, to the matrix A with respect to the 2-norm. That is, find…

A: The given matrix is A=-211-105. We need to find the rank 1 approximation of the given matrix and…

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: A B D What is the size/order of the matrix A = 1 9? 5 2 3 x 3 3 x 2 2 x 2 2 x 3

A: The given matrix is;  A=[ 2 3        1  9       5   2].

Q: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions