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For Problems 6-9, determine
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Differential Equations and Linear Algebra (4th Edition)
- Solve for X in the Equation, given A=-401-532 and B=12-2144 a 3X+2A=B b 2A5B=3X c X-3A+2B=0 d 6X4A-3B=0arrow_forwardFor each of the choices of A and b that follow, determine whether the system Ax = b is consistent by examining how b relates to the column vectors of A. Explain your answers in each case.arrow_forwardExpress the following system of linear equations as a vector equation: −10x1−4x2+5x3+3x4 = −2 −9x1−6x2+x3+10x4 = 10 4x1−5x2−8x3−3x4 = −5 −9x1+3x2−4x3−9x4 = −10arrow_forward
- Look for two problems with simultaneous linear equations 4x4 or 5x5 or higher, and recalculate it using iterative methods (Jacobi and Gauss-Seidel) in five decimal places until you get zero error.arrow_forwardfor this problem, it cannot be assumed that A is diagonal. In particular, A2 = A does not imply A = 0 or A = I, and A2 = I does not imply A = ±I. Helpful notes attachedarrow_forwardFor the matrix A = 0 5 8 Cofactor C21? 4 5 2 9 4 4arrow_forward
- Find General solution to the following problemarrow_forwardAnswer the following questions. 1. A tea company wants to make 7 pounds of a blend of tea costing $4 per pound by combining a tea that costs $3 per pound and tea that costs $6 per pound. How many pounds of each grade of tea should be used? Which of the following equations represents a possible model for this problem? A. 6 x + 7(7) = 3 (4 - x)^() B. 6 x + 4 x = 7 (7 - x)^() C. 3 x + 6(4 - x) = 7 x D. 3 x + 6(7 - x) = 4(7) E. 3 x + 6 x = 7 2. How many ounces of a brand of coffee that costs $8 an ounce must be mixed with 14 ounces of another brand that costs $10 an ounce to make a mixture that costs $9.50 an ounce? Which of the following equations represents a possible model for this problem? A. 8 x + 10(14 - x)^() = 9.5(14)^() B. 8 x + 10 x = 9.5(14) C. 8 x + 10(14) = 9.5(x + 14) 3. How many gallons of a solution that is 18% acidic must be mixed with 7 gallons of a solution that is 25% acidic to make a solution that is 21% acidic? Which of the following equations…arrow_forward
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