Learning Materials
Features
Discover
Chapter 3: Q22P (page 105)
Square ; interpret your result geometrically. Hint: Your answer is a law which you learned in trigonometry.
The law of cosine .
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Find the distance between the two given lines.
The lines that join(0,0,0)to (1,2,-1), and the line that joins (1,1,1) to (2,3,4).
For each of the following problems write and row reduce the augmented matrix to find out whether the given set of equations has exactly one solution, no solutions, or an infinite set of solutions. Check your results by computer. Warning hint:Be sure your equations are written in standard form. Comment: Remember that the point of doing these problems is not just to get an answer (which your computer will give you), but to become familiar with the terminology, ideas, and notation we are using.
Verify (6.14) by multiplying the matrices and using trigonometric addition formulas.
Verify the details as indicated in diagonalizing H in (11.29).
Let each of the following matrices Mdescribe a deformation of the plane For each given M find: the Eigen values and eigenvectors of the transformation, the matrix Cwhich DiagonalizesM and specifies the rotation to new axesalong the eigenvectors, and the matrix D which gives the deformation relative to the new axes. Describe the deformation relative to the new axes.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App