2.Using Method of Variation of Parameter, which of the following gives the correct matrix form of the particular solution? А.Ур = В.ур = C. Yp D. Yp = 2e2t e2t -e-2t 2e-t e2t 2e2t -2t V1 ¿][a] V2 2t 2e-t
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- How many solutions will the linear system Ax = b have if b is in the column space of A and the column vectors of A are linearly dependent? Explain.Consider the linear system of its matrix form Ax=b with A and x Which variables are the free variables (i.e., those variables corresponding the non-pivot columns)?A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position co-ordinates for particle 1 are (4,4), for particle 2 are (2,1) and for particle 3 are (1,2). What will be the x coordinate of the system s center of mass?
- First write the given homogeneous system in the matrix form Ax=0. Then find the solution in vector form.Consider the following system of linear equations A times x = b: 2x3 - 2x2 = 4 x3 - 2x2 + x1 = 3 2x2 - 2x1 + 4x3 = 0 Specify the augmented matrix for this linear system, and use Gaussian elimination with partial pivoting to compute the solution vector x. Show work.For back substitution with a band matrix (width w ), show that the number of multiplications to solve U x = c is approximately wn.
- Find the 3 × 3 matrix that produces a translation by (8,7) followed by a reflection through the x-axis, using homogeneous coordinates.Write down the augmented matrix [A b] with an extra column:X + 2y + 2z = 14x+8y+9z = 33y + 2z = 1Apply E21 and then P32 to reach a triangular system. Solve by back substitution. What combined matrix P32 E21 will do both steps at once?the matrix associated with the solution to a system of linear equations in x, y, and z is given.Write the solution to the system, if it exists