Let x, y, z be (non-zero) vectors and suppose w = -16x - 4y + 2z.
If z = 4x + y, then w = - 8x - 2y.
Using the calculation above, mark the statements below that must be true.
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8х — 2у + 3z. (3 points) Let x, y, z be (non-zero) vectors and suppose w = If z y-4x, then w = x+ -4 1 у. Using the calculation above, mark the statements below that must be true. A. Span(w, z) = Span(y, z) B.Span(x, z) Span(w, z) C. Span(x, y, z) = Span(w, x) |D. Span(w, y) = Span(w, y, z E. Span(x, z) Span(x, y)
12х + 18у — 4z. (1 point) Let x, y, z be (non-zero) vectors and suppose w = If z 2x 3y, then W = X+ у. Using the calculation above, mark the statements below that must be true. |A. Span(w, x) Span(w, z) B. Span(w, y) Span(w, y, z) |C. Spanx, y, z) = Span(x, y) D. Span(w, z) Span(x, y) E. Span(w, x, z) = Span(w, x, y)
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
solving using Gaussian elimination method to solve the questions above 1. Solve the following systems of linear equations using Gaussian elimination method. a) 3z 9 x 5y 2z 2 1 3 *+2y = 3 b) x+y 0 2x y+3z3 x-2y -z 3 c) xy+z 9 2x +4y-3z= 1 3x+6y 5z= 0 e) 2xz w 5 y-w-1 3x z-w 0 4x +y+ 2z +w 9 2. How many gallons of each of a 60 % acid solution and an 80 %...
Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 4x - 2y + 3z = -11 2x + 2y + 5z = 1 8x - 5y – 2z = 10 (x, y, z) = (I
In Exercises 5-14, use the addition method to solve each system of equations. (Exercises 5-8 are the same as Exercises 1-4.) 2x+y+z=7 x+y+5z =-10 2x 3y +3z9 118.txx y y 552:1 i3 11(2xx+ 23y +42c:17 1 13.?s- x-2y + z=-4 x+2y + 3z = 4 4x+2y + 2z = 0 16x-4y-3z = 3 6x+3y + 12z = 6 Solve Exercises 15-22 15. Electronics Kirchhoff's law for current states 13 (Note that electu
Write the matrix corresponding to the following system of linear equations. - 8x + 4y = 2 4x - 3y = 6 What is the corresponding matrix? (Do not simplify.) Tes Change the third equation by adding to it (-3) times the first equation. Give the abbreviation of the indicated operation. (x + 4y + 5z = 4 5x - 3y - 2z = 1 3x + 3y + 2z = 1 The transformed system is x + 5x -...
Say that A is a 3 x 3 matrix and that there are non-zero vectors x, y and z with Ac = e. Ay = -2y , and Az = 0 Which of the following statements must be true? Select only one answer A is neither invertible nor diagonalizable. Ais diagonalizable but is not invertible. A is invertible but is not diagonalizable. A is invertible and diagonalizable.
#2. Solve the system of equations by any method. ( x + 2y + 3z + 4w = 5 J -5x - 4y + 3z + 2w = 1 1 x-y+z-w = 1 2x + y + 2z + w = 2 Answer: (x,y,z,w) =