Find the triangular factorization A = LU for the matrix A = 1  1  6      -1  2  9       1  -2  3 and solve LY = B, UX = Y , and verify that B = AX for B = [7 2 10]T

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

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Q: Q4: The volume (V) of liquid in a hollow horizontal cylinder of radius (r) and length (L) is related…

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Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

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Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

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Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

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Q: 1 Let the matrix A= Find A2 5A + 312x2. - Select one: a.

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Q: Compute the quadratic form x¹Ax for the given matrix A and vector x. [59 0] A = 91 4, X = X2 04-2 x3…

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Q: Write 2x + 3y + z + 5t = 8 as a matrix A (how many rows?) multiplying the column vector x = (x, y,…

A: Given: Equation is Objective:Represent the equation in matrix form, , where  is the coefficient…

Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Write the 4 x 4 elementary matrix which accomplishes the row operation R3 - 5 R2 ---> R3 when you…

A: let  I be the 4×4  identity matrix I=1000010000100001

Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

Q: Find the characteristics roots of the matrix 2 A =| 1 2. 2.

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Q: Find the 3x3 matrix that induces the described action on R3. Rotates the yz plane  by 45 degrees,…

A: We have to find 3×3 matrix that rotates the yz plane by 45 degrees and reflects the x-axis.

Q: Write down the 3 x 3 matrix that rotates a 2D point by angle about a point 0 p = (xp, yp).

A: Consider point .To write the  matrix that rotates a  point by angle  about a point .

Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

Q: Find the hessian matrix for y = x12 + 2x22

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Q: Find the matrix B such that 2AT+3B=0.

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Q: Find a 3 × 2 matrix A and has LU factorization where L is diagonal.

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Q: Find the 3 × 3 matrix that produces a translation by (8,7) followed by a reflection through the…

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Q: Write down the 4 by 4 matrix S that scales by a constant c. Multiply ST and also TS, where T is…

A: As per the question we are given the following 4×4 transformation matrices : S : scaling matrix of…

Q: Let y = and u= 3 Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to…

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Q: Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx + ƒ = 0,…

A: Express the quadratic equation2x2+4xy+7x-2y+8=0,in the matrix form xTAx+Kx+f=0,where xTAx is the…

Q: 2. Find a matrix that projects onto the line / 2x - 5y = 0 and find the projection of 6= (1, -2)…

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