2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(X) = XTQX with the matrix [1 2 3 [1 2 3] 1 1 31 A: Q=2 2 2.5 B: Q 5 6 C: Q=2 5 3 D: Non of these 13 2.5 3 3 11 6 O A O B C OD O = 4 12 5 41

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

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Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 5. (a) Consider T = LA: R³ - where A is the matrix A = R¹, T(x) = Ax 1 0 0 0 1 0 000 000 (In the…

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Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

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Q: Express the linear function as F(x) = CX for some matrix C. f(x1,x2,x3,x4) = (5x3 - x1, 2x3 + x4,…

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

Q: Use the given definition to find f(A): If f(x) = a, + a,x + a,x2 + ... + a,x" is a polynomial…

A: We have to find f(A).

Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: , and c

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

Q: Here A represents a 2 x 2 matrix

A: Given : A is a 2×2 matrix and A has the repeated eigen value λ with two linearly independent eigen…

Q: Consider the following function; Q(x1, x2, X3) = 2x? + 3x? – xž + 5x1x3 + x2x3 Find the matrix A…

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Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

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Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: 1. True or False: (Matrix [mxn]) [3x6][5x3]=[5x6] O True O False O Maybe

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Q: For matrixA = if g(X) = X2 +4x + 2, what is the answer to g(A)?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: for a matrix A 3 6 2 5 if f(x)=(x+2)(x-2), calculate f(A)

A: Given: Matrix A=3625 To Find: f(A) when f(x)=(x+2)(x-2)

Q: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

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Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

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Q: se the above equation is expressed as Ax = b with x = uations in one matrix form as (Alb)= -10 -10…

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Q: Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ²-4x−2, 3x²-x, −3x−3] D= [-3x−3,…

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Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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