In Problems 35–46 find the general solution of the given system.
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- 5. By using the matrix methods to solve the following linear system: I1 + 12 – 13 = 5, 3r1 +x2 – 2r3 = -4, -I1 + 12 - 2r3 = 3;arrow_forward2a. How many solutions x will the system Anxn x = b have, when |A| = 3 ?arrow_forward7. Find the general solution of the system: X = ( 2 -1 3 X+ et ()+arrow_forward
- Find the general solution of the system of D.E. x ¹ 1 (11) 4 १४arrow_forward2. How many solutions could the following linear system have? ax+by=0 cx + dy=0 ex+fy=0 Give an example of such a system for each possibility.arrow_forward6. How many solutions does the system 2y = 10x – 14 and 5x – y = 7 have? C none A one B two D infinitely manyarrow_forward
- Question 5. Determine all solutions to the first-order linear system x₁ = −x1 + x2 x = -2x1-3x2 + 23 - x = x1 + x2 − 2x3arrow_forward4. Use Gaussian elimination with backward substitution to solve the following linear system: 2x1 + x2 – x3 = 5, x1 + x2 – 3x3 = -9, -x1 + x2 + 2x3 = 9;arrow_forwardH.W:- Solve The linear SysTem O 1.7X-3.2y = 81 014x+112y = -2 2X+X2- X3=D9 8 X2+ 6X3=-6 -2 X1+4x2-6X3= Y0 %3D ®2x+3y+2-1/W = | 5x -2y+5z-4w=S X-Y+32-3w=3 3ペナ9yーチスナ2w=ー7arrow_forward
- 1. (Ch. 1) Find all solutions to the following linear system of equations: X1 – 3x2 + x4 – x5 = 1 %3D x3 – X4 = 2 %3Darrow_forward1. Write the solution of the linear system -x1 – 14 + 2.x5 = -2 3x1 + x2 + 2x3 + 4x4 – x5 1 4.x1 – x2 + x3 + 2x5 1 in the form x Xp + Th where x, is a particular solution and rh is a solution of the corresponding homogeneous system.arrow_forward3. Find the general solution of the system given by Y2 + Y3 Y2 = Yı + Y3 (3) Yı + Y2 || || ||arrow_forward
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