Engineering Board Exam Reviewer · Cramer's Rule and Linear Systems · easy

In Cramer's rule, the denominator D in x=Dx/D is

  1. the determinant of the augmented matrix
  2. the determinant of the coefficient matrix
  3. the sum of the constant terms
  4. the determinant of the constants column

Answer

B. the determinant of the coefficient matrix

Solution

D is the determinant of the coefficient matrix. Dx is formed by replacing the x-column of D with the constants.

More Cramer's Rule and Linear Systems questions

  1. Use Cramer's rule to find x if 2x+3y=8 and x-y=-1.
  2. For what value of k does the system x+y+z=3, x+2y+3z=6, x+3y+kz=10 have no solution?
  3. In a two-loop circuit the mesh equations are 6I1-2I2=10 and -2I1+5I2=0 (volts, amperes). Find I1.
  4. Solve 2x+y+z=9, x-y+2z=6, x+3y-z=4 and find x+y+z.
  5. For what value of k does x+2y=0, 3x+ky=0 have nontrivial solutions?
  6. Use Cramer's rule to find z in the system x+y+z=6, 2x-y+z=3, x+2y-z=2.
  7. How many solutions does the system x+y=2, 2x+2y=5 have?

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