Recent content by salistoun
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Undergrad Invertiable for all values of theta
Hi all, How do you go about solving this question as it says: Show that the matrix: | costheta sintheta 0 | B= | -sintheta costheta 0 | | 0 0 1 | is invertible for all values of theta [Hint. Show that det(B) is not...- salistoun
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- Theta
- Replies: 3
- Forum: Linear and Abstract Algebra
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Undergrad Cube Roots of 1 in Polar Form: Stephen's Question
thx Muprid- salistoun
- Post #3
- Forum: Linear and Abstract Algebra
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High School Determining wheter point lie on line
Thanks Don i do get what u saying- salistoun
- Post #5
- Forum: Linear and Abstract Algebra
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High School Determining wheter point lie on line
Hi Don, If I'm correct, the parametric equation for the following points is: x = -2t + 5, y = -9t - 6 and z = -2t + 10 So no values are matching this parametric x = 2 + t; y = 3 - 3t, z = 4 + 2t. So therefore it does not lie on the line right?- salistoun
- Post #3
- Forum: Linear and Abstract Algebra
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High School Determining wheter point lie on line
Hi all, How do I go about solving the following question? Determine whether the points (5 , -6 , 10) and (3, 3 , 8) are on the line x = 2 + t; y = 3 - 3t, z = 4 + 2t Stephen- salistoun
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- Line Point
- Replies: 4
- Forum: Linear and Abstract Algebra
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Undergrad Cube Roots of 1 in Polar Form: Stephen's Question
Hi all, There is a question that asks? Determine the cube roots of 1 in polar form? Does that mean I can use De Moirve Formula? Stephen- salistoun
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- Form Polar Polar form
- Replies: 2
- Forum: Linear and Abstract Algebra
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Undergrad How Do You Find the Equation of a Plane Given a Point and a Perpendicular Line?
Thanks Don it makes sense. Stephen- salistoun
- Post #3
- Forum: Linear and Abstract Algebra
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Undergrad How Do You Find the Equation of a Plane Given a Point and a Perpendicular Line?
Hi all, How do you go about solving the following Question? Find an equation of the plane containing the point (1 , 1 , -1) and perpendicular to the line through the points (2 , 0 , 1) and (1 , -1 , 0). Stephen- salistoun
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- Plane Vectors
- Replies: 2
- Forum: Linear and Abstract Algebra
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Undergrad Nonhomogeneous system of linear equations
Hi all, How do u go about doing this question? x - 2y +z =4 y- z =3 (a^2 - a - 2)z = a+1 Determine values of a for which the system has no solution, one solution and many solutions Stephen- salistoun
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- Linear Linear equations Nonhomogeneous System
- Replies: 2
- Forum: Linear and Abstract Algebra
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Undergrad Find if Parametric equations are perpendicular
Hi all, How do you find out if this Parametric equation x = -2t + 3 ; y = -t - 1 ; z = -3t + 2 Is perpendicular to this parametric equation x = -2 + 6t ; y = 3 - 6t ; z = -3 - 2t Thanks Stephen- salistoun
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- Parametric Parametric equations Perpendicular
- Replies: 3
- Forum: Linear and Abstract Algebra
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Undergrad Finding out a equation of a plane that is parallel to a plane
Hi all, What is the formula of an equation of a plane that is parallel to the plane. For example the plane is x - 3y -2z -4 = 0 going through a point(1 , 1, 1). Thanks, Stephen- salistoun
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- Parallel Plane
- Replies: 1
- Forum: Linear and Abstract Algebra
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High School Does the following point lie on plane?
thanks Andrien- salistoun
- Post #3
- Forum: Linear and Abstract Algebra
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High School Does the following point lie on plane?
Hi all, I got this question from a past exam paper does the point (8 , 4 , -5) lie on the plane 7x - 3y + 4z = 8? Do you work it out as follows because can't find this example in my Linear Algeria book? 7(8) - 3(4) + 4(-5) = 8 56 - 12 - 20 = 8 24 is not equal to 8 Therefore the...- salistoun
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- Plane Point
- Replies: 3
- Forum: Linear and Abstract Algebra