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: (15) 4. Add the matrices + 25 4 3

A: We have to do matrices

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

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

A:

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: Example: f=(f¹, f²): R³ → R² (-6) T1I2X3 that is, f¹(x) = x₁²² and ƒ²(x) = 1₁T2Tz. Then the Jacobi…

A:

Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: Find a matrix X that solves the equation 1 2 3 4

A:

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

A: Explanation is given below..

Q: 1 3 3 - 4 1 A(x)=x² – A -2x+3 5 2

A:

Q: X1 + 3x2 – 2x3 + 2xs = 0 2x, + 6x2 – 5x3 – 2xg+4x5 – 3x6 = -1 X3 + 5x4 + 3x, = 1 x + 3x2 + 4x4 + 2xs…

A: Given that the system of linear equations is…

Q: Q(x1,X2, x3) = 2xỉ + 3x3 – x + 5x1x3 + X2X3

A: Given,        Q(x1, x2, x3)=2x12+3x22-x32+5x1x3+x2x3

Q: 3 |2 -3 -47 Гз -17 The matrix product 2 4 5 |0 1 1.

A:

Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

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

A:

Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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

A:

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: Find the power of A for the matrixA16

A:

Q: For each of the following, factor the matrix A into a product QDQ' where Q is orthogonal and D is…

A: A is symmetric matrix ,then A is orthogonally diagonalizable, and Q is the orthogonal matrix, the…

Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

Q: f (x1,X2,x3) = xỉ + 3x1x2 – x2X3 +x3 – 4x3 Rewrite f in the matrix form x'Ax where A is a symmetric…

A:

Q: and (96) = C1 A₁-3+4i with ₁ = Write the solution to the linear system [+] in the following forms.…

A:

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: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

A:

Q: b) Evaluate det[(2A)-1 (3A")], where A is any invertible (2 x 2) matrix.

A:

Q: 2 1 2 A = = | 3 -2 4 -3 -5]

A:

Q: * 2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x1x3 can be written in the form f(X) =…

A:

Q: 9. Show that the matrices ( ) ( ) (19). generate M₂×2(F). and (689)

A:

Q: Q5 Let -1 7 A = 1 15 -2 (5a) Find a 3 x 3 matrix P and a diagonal matrix 0 0 D= such that A = PDP-1…

A:

Q: How can we determine the cofactor for each element in a matrix?

A: Query- How can we determine the cofactor for each element in a matrix? Answer-  The first step…