Test Review of Solving Systems by Matrix

Solve the following systems of equations.

-x+6y-z=6

2x+y-3z=16

-x+5y+3z=-7

• A (0, -6, 0)

• B (0, 0, -6)

• C (3, 1, -3)

• D (-6, 4, -3)

What do w, x, y and z equal in this matrix subtraction?

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

• (0, 0, -3)

• Infinitely Many Solutions

• No Solution

• (0, 0, 0)

A system of pulleys is loaded with a 128 lb and 32 lb weights. The tensions B and C in the ropes and the acceleration (A) of the 32 lb weight are represented by the following system: B - 2C. = 0 B - 2A = 128 C + A = 32 Use an augmented matrix to find B, C, and A.

• B = 96

  C = 48

  A = -16

• B = 0

  C = 128

  A = 32

• B= 0

  C= 0

  A= 1

• a

• b

• c

• d

Solve the system of equations using a matrix technique and your GC

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)

Solve the system by inverting the coefficient matrix and using (A^-1)(x)=b. Enter your answer as (x1, x2) format.

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OFF

• a

• b

• c

• d

Solve the system of equations using a matrix technique and your GC

• ( 4, 2, -1)

• ( 4, 3, -1)

• None of these

• ( -4, 3, 1)

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