Find the general solution to the system: x' = A x + b, where A is the 2 X 2 matrix A = 3    -1        1    5 and b is the 2 X 1 vector b =   5 exp(2t)        -3 exp(2t).

Express x₁ = 4x₁-x₂ + 3x3 - 5x4 X₂ = 5x₁ + x4 x3 = -√ex₁-7x3 X4 = 0 Write the system of equations using matrix notation. Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. O B. the system of differential equations in matrix notation. O C. extbook X₁' X₂ X3 X4' X₁' X₁ x₂ x2 X3 X3 X4 C X₁ X2 X3 ХА x3 x3 X4 X4 x₁ X₁ X₂' Ask my instructor

SOLVE THE SYSTEM USING THE MATRIX じメPOMENテAL LUSG JORDA EXPONENTIAL FORM) x(6)= 12 L7

For the following system of equations: X1 + 3x2 + x3 = -10 4x1 – 2x2 + 2x3 = -16 2x1 + x3 = -9 А. Find the PLU factorization of the coefficients matrix. Verify that PA = LU where L is a strict lower triangle matrix. Solve the system using the PLU factorization you found in part (a). В. С.

Write the system of linear equations -3x + ly – 9z 8 6x + 4y – 4z 5 7x + 3y – 9z as a matrix equation. ||||

2x+y+z=7 4x−3y+2z=4 3x+2y−2z=5 Write the system in matrix form Ax=B. Determine the inverse matrix A−1. Use the inverse matrix to find the solution vector x.

Consider the system of linear equations given by:2x1+ x2− 3x3=8−x2​+ 2x3​=−4 9x1​+ 4x2​− x3​=9 Write the system in matrix form Ax=B. Calculate the determinant of matrix A (∣A∣)