Use Cramer’s Rule to solve the following system.

Give the order of the following matrix; if A = [a_ij], identify a₃₂ and a₂₃. 

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination. 

Use Cramer’s Rule to solve the following system.

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 

Use Gaussian elimination to find the complete solution to each system.

Use Cramer’s Rule to solve the following system.
 

Use Gauss-Jordan elimination to solve the system.

Use Cramer’s Rule to solve the following system.
 

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination. 

Use Gaussian elimination to find the complete solution to each system.

Find the products AB and BA to determine whether B is the multiplicative inverse of A. 

Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination. 

Use Cramer’s Rule to solve the following system.

If AB = -BA, then A and B are said to be anticommutative. 

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 

Use Cramer’s Rule to solve the following system.
 

Locate the foci and find the equations of the asymptotes.
 
4y² – x² = 1

Find the standard form of the equation of the ellipse satisfying the given conditions.

Endpoints of major axis: (7, 9) and (7, 3) 
Endpoints of minor axis: (5, 6) and (9, 6)

Find the standard form of the equation of each hyperbola satisfying the given conditions.

Foci: (-4, 0), (4, 0)
Vertices: (-3, 0), (3, 0)

Locate the foci of the ellipse of the following equation.

x²/16 + y²/4 = 1

Find the standard form of the equation of each hyperbola satisfying the given conditions.

Center: (4, -2)
Focus: (7, -2)
Vertex: (6, -2)

Convert each equation to standard form by completing the square on x or y. Then ?nd the vertex, focus, and directrix of the parabola.

y² - 2y + 12x - 35 = 0

Find the vertex, focus, and directrix of each parabola with the given equation.

(x + 1)² = -8(y + 1)

Find the standard form of the equation of each hyperbola satisfying the given conditions.

Endpoints of transverse axis: (0, -6), (0, 6)
Asymptote: y = 2x

Find the focus and directrix of each parabola with the given equation.

y² = 4x

Find the vertex, focus, and directrix of each parabola with the given equation.

(y + 1)² = -8x

Convert each equation to standard form by completing the square on x and y.

4x² + y² + 16x - 6y - 39 = 0

Find the vertices and locate the foci of each hyperbola with the given equation.

y²/4 - x²/1 = 1

Locate the foci and find the equations of the asymptotes.
 
x²/100 - y²/64 = 1

Find the standard form of the equation of the following ellipse satisfying the given conditions. 

Foci: (0, -4), (0, 4)
Vertices: (0, -7), (0, 7)

Find the standard form of the equation of the following ellipse satisfying the given conditions. 

Foci: (-2, 0), (2, 0)
Y-intercepts: -3 and 3

Find the focus and directrix of the parabola with the given equation.

8x² + 4y = 0

Find the focus and directrix of each parabola with the given equation.

x² = -4y

Convert each equation to standard form by completing the square on x or y. Then ?nd the vertex, focus, and directrix of the parabola.

x² - 2x - 4y + 9 = 0

Locate the foci of the ellipse of the following equation.

25x² + 4y² = 100

Find the vertices and locate the foci of each hyperbola with the given equation.

x²/4 - y²/1 =1