Find an equation of the plane passing through the given points (2, 9, –9), (2, –9, 9), (-2, –9, –9)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CT: Chapter Test
Problem 18CT: TEST Only one of the following matrix has an inverse. Find the determinant of each matrix, and use...
icon
Related questions
Question
Find an equation of the plane passing through the given points.
(2, 9, -9), (2, –9, 9), (-2, –9, –9)
Transcribed Image Text:Find an equation of the plane passing through the given points. (2, 9, -9), (2, –9, 9), (-2, –9, –9)
Determine whether Cramer's Rule is used correctly to solve for the variable. If not, identify the mistake.
1
1
-1
4
-3
x + 3y + z = 3
-x + 4y - 3z = 2
2x +
2
1
-1
y =
y -
z = 6
1
3
1
-1
2
-3
2
-1
O The numerator and denominator have been reversed. The determinant of the coefficient matrix should be in the denominator.
O The row of constants should be in the second row.
O There is no mistake.
O The column of constants should be in the first column.
O The numerator and denominator have been reversed. The determinant of the coefficient matrix should be in the numerator.
Transcribed Image Text:Determine whether Cramer's Rule is used correctly to solve for the variable. If not, identify the mistake. 1 1 -1 4 -3 x + 3y + z = 3 -x + 4y - 3z = 2 2x + 2 1 -1 y = y - z = 6 1 3 1 -1 2 -3 2 -1 O The numerator and denominator have been reversed. The determinant of the coefficient matrix should be in the denominator. O The row of constants should be in the second row. O There is no mistake. O The column of constants should be in the first column. O The numerator and denominator have been reversed. The determinant of the coefficient matrix should be in the numerator.
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning