In Problems 1–6 write the given linear system in matrix form.
9.
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A First Course in Differential Equations with Modeling Applications (MindTap Course List)
- 7. Invert the following matrix 3x – 2y = 9 -x + 3y = 3 |arrow_forward31 32 = 1 + 3x2 1 + 2x3 + 324 Y3 3x2 + x3 Write the matrix A such that y = Ax |arrow_forwardHELP WITH 18 AND 19 In each of Problems 12–23, find AR and produce a matrix 2r such that QRA = AR. -1 4 2 3 -5 7 1 18. A = 1 -3 4 4 19. A = 0 0 0arrow_forward
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- Problem 13. Write the matrix M = where Then z = (a) 1 (b) 2 (c) 3 (d) 4 A 13 24 as a linear combination of the form M = A + B + zC, 8 B= ---- and C=arrow_forward2. Find the solution set to the following system of linear equations using Gauss-Jordan elimination. (2.x1 + 7x2 – 12.x3 = -9 x1 + 2x2 – 3.x3 = 0 3x1 + 5x2 – 7x3 = 3 - Determine the rank of the coefficient matrix and the augmented matrix.arrow_forward1.2. Find a matrix A for which a1,1 = a2,2 = a3,3 = 1, but elimination (with no row exchanges) produces two negative pivots (the first pivot is 1).arrow_forward
- Solving Systems Use Gauss-Jordan reduction to transform the augmented matrix of each system in Problems 24–36 to RREF. Use it to discuss the solutions of the system (i.e., no solutions, a unique solution, or infinitely many solutions). 74 + 25 - - 2 29. x₁ + 4x₂ = 5x3 = 0 2x1x2 + 8x3 = 9arrow_forwardForm a coefficient matrix for the following linear system of equations: √x + 16 y = = 11 U x + 2y = -1. [26 11] 1 -1 [161] [11] Hi 0 [1¹9]arrow_forward4 For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)? 3arrow_forward
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