Determine which of the following is the Jacobian matrix for the system given by dx 3 = 3x?y³ -xy? – 2xy+ 8y? dt dy — x?у2 + 4у3 + 3ху- 2х dt |ox*y? -w-2x+16y 6xy' --2y 9x°y -xy-2x+16y 6xy?- 6x² --2y 9x°y? -w-2 -2ку? + Зу-2 6xy° - -2y 9ry-w-2x+16y -2xy? + 3y - 2 -2x?y+12y +3x] -2x?y+12y? + 3x -2xy? + 3y-2 -2x²y+ 12y² + 3x -2x?y+12y + 3x -2xy? + 3y- 2

Q: the following system of linear equations using Gaussian elimination approach (backwa tion). 1 3 3 -1…

A: Since  you have posted a multi subparts question according to guildlines I will solve first(1,2,3)…

Q: Find all the solutions in vector form of the following linear system using Gaussian elimination z1-…

A: given equation…

Q: -2 Find C, where matrix C = [3/2 -1/2

A:

Q: t₁ = 1 t₂ = 2 t3 = 3 t4 = 4 1 1 1 1 1234 C₁ = 11 C₂ = 29 C3 = 65 C4 = 125 1 4 9 16 1 8 27 64 11 29…

A: As per the question we are given the Vandermonde matrix and we have to find its determinant then…

Q: 18.- Define the symmetric matrix corresponding to the following quadratic form: F(x, y, z)= x² + z²…

A: Given quadratic form isWe have to define the symmetric matrix corresponding to the above quadratic…