The ODE (x dy/dx = yx²) is separable. true false If for a square matrix A and B, null matrix O, AB = O implies A-O and B=O *

Q: If (AB)" = and A = find the matrix B. %3D

A:

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

A:

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

A: Explanation is given below..

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

A: The detailed solution is given below Thank you

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: , and c

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

Q: Suppose we are given A E Mmxn(C). How do the singular values of A relate to those of its adjoint, A*…

A: Please check step 2 for the solution.!

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

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: メ-E to to L-E 2-E to to to d-E put K-E =U E= d-fX

A: The solution to the given question is explained below.

Q: find if the vector x is in the range for matrix A

A:

Q: Give a matrix A and vector b so that Ax = b has no solution, but Ax = b has many least squares…

A: For first part consider an example which is following :Here  has no solution, but  has many least…

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

A:

Q: Let A be annxn matrix and B= A+T, where I is the identity matrix, then it is possible for A and B to…

A: Let λ be the eigen value of A. As B=A+I So, eigen value of B will be λ+1 which is not same as λ

Q: Find a matrix X = R2x2 for which −3 X¹⁹ - -24 12² -36).

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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: what is the x on this matrix; Ax(D+Bx)^-1 = C

A: Using matrix multiplication,

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

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

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Q: the acdjainbaf square of As of 2.

A:

Q: Solve for (A + B^T)*(A^T-B)*C and compute for the matrix inverse of B and AB.

A: Follow the procedure given below.