Cosx 0 sinx 1. Solve for x: sinx 0. COSX sinx - cosx 1 sinx+cosX

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
Section11.4: Determinants And Cramer's Rule
Problem 4E
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COSX
0.
sinx
1. Solve for x:
sinx
COSX
3D
sinx-cosx 1 sinx+coSX
2. The equation for a plane can be found by
evaluating the following determinant equation for
points (x1,y1,Z1), (×2.y2,z2), and (x2,y3,z3):
Xyz 1
X1 Y1 Z1 1
3D0
X2 Y2 Z2 1
Хз Уз Z3 1
Find the equation of a plane (Ax + By + Cz = D) that
passes through the points (0,0,0), (1,0,3), and (0,3,4).
3. Identify the additive inverse of p(x) = -3 +4x - 4x2
+7x³ in the vector space P3.
4. Identify a set of 3 x 3 matrices (a subset of M3.3)
that does not form a vector space and identify at
least one vector space axiom that is not satisfied.
Transcribed Image Text:COSX 0. sinx 1. Solve for x: sinx COSX 3D sinx-cosx 1 sinx+coSX 2. The equation for a plane can be found by evaluating the following determinant equation for points (x1,y1,Z1), (×2.y2,z2), and (x2,y3,z3): Xyz 1 X1 Y1 Z1 1 3D0 X2 Y2 Z2 1 Хз Уз Z3 1 Find the equation of a plane (Ax + By + Cz = D) that passes through the points (0,0,0), (1,0,3), and (0,3,4). 3. Identify the additive inverse of p(x) = -3 +4x - 4x2 +7x³ in the vector space P3. 4. Identify a set of 3 x 3 matrices (a subset of M3.3) that does not form a vector space and identify at least one vector space axiom that is not satisfied.
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