3 x1 +4 x2 + 1 X3 = 9 1x1 +2 x2 +9x3 = 2 7 x1 +1x2 +3 x3 = 4 4 x1 +3 x2 +2 x3 = 7 Represent the System as the following matrix representation form Ax=b

Q: Show that the system of linear equations 2x + 3x₂ + x3 = 5 x₁ = 4x₂ + 5x, = 8 - can be written as…

A: To show that the system of linear equations2x1+3x2+x3=5x1-4x2+5x3=8can be written as the matrix…

Q: Express as a single matrix.

A: The matrix we have is  2014-2302-3451

Q: Compute the adjugate of the following matrix: 5 60 adj 4 -7 -5 -10 -4 -6 000 000 000

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Q: Multiply matrix [1 2 3] by [5 4 2 030

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Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: use some form of technology to show that the given matrix is nondefective

A: Given : A=ababababa To Show : A is non-defective.

Q: Find the transpose of matrix A A = 4 0 -6 3 -8 1

A: Matrix transpose

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two…

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Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

Q: Find A¹ and A². A = -32 -4 3 Find A1. A¹ = (Type an integer or decimal for each matrix element.)…

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Q: Find the following matrix product. Be careful to distinguish 2 × 2 matrices in the answers from 2 x…

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Q: Diagonalize the following matrix: 1 7 - 1 13 5 -5 -7 - 1 7 not diagonalizable 6 0 0 -9 0 0 - 12 90 0…

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Q: 2 14 Wiite the and system below as Vertor euation. matrix Quatan +6z =0

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Q: The antiderivative of a constant is the family of lines.

A: Let y = mwhere m = constant

Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

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Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: Зх — Зу — 6z %3D -3 2х — 2у — 4z 3D 10 2х + Зу + z % 7

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Q: T 3 0 0 ? 0 2 [ 2 2 0 0. 0. 0 2 2 0 2 0 3 3 0 -2 | 2 -2 2 0 3 0 0 0 -1 4 -2 -2 -2 3

A: Explanation of the solution is given below...

Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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Q: The dimension of the row-space of a matrix equals the number of rows of the matrix. Select one: O…

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Q: Compute the adjugate of the following matrix: -7 3 -6 0 0 0 0 0 0 0 0 0 adj -7 0 -2 %3D | 2 -8 4

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Q: Determine the row rank of the matrix 145 2 8 10 3 64 Possible Answers: 3 0 1 2

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Q: Express as a single matrix.

A: Here we need to express the product of matrices 2-1030-22-13030142as a single matrix.

Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: The price charged for cases of 2 different soft drinks at two different stores can be represented by…

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Q: An augmented matrix is given as- a11=2 a12=3 a13=4 b₁=9 a21=5 a22=-2 a23=2 b2=-1 a31-4 a32=6 a33=5…

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Q: If a matrix A is such that, 3A³ + 2A² + 5A + I = 0 then its inverse is?

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Q: Find the matrix A if 2e2t et e²t - et e2tet 2e2t - et 3e2t3et 3e2t-3et et-e2t et - e2t 3et - 2e²t

A: To determine the matrix A , firstly I have taken the derivative on both sides then putting t equal…

Q: Diagonalize the matrix [5 -14] 4 -10 A = by writing it as A = PDP-¹ P = D = P-1 =

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Q: 1. Write the following linear system in matrix form. 2x, + 3x₂ <= 0 3x₂ + x₂ = 0 2x,

A: NOTE: As per our guidelines, I have solved one question (Question number 1) out of many. If you want…