Chapter 4: Q33E (page 191)
Consider the polynomials , and
Short Answer
The set
Chapter 4: Q33E (page 191)
Consider the polynomials , and
The set
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Get started for freeA homogeneous system of twelve linear equations in eight unknowns has two fixed solutions that are not multiples of each other, and all other solutions are linear combinations of these two solutions. Can the set of all solutions be described with fewer than twelve homogeneous linear equations? If so, how many? Discuss.
Question: Exercises 12-17 develop properties of rank that are sometimes needed in applications. Assume the matrix
15. Let
Suppose the solutions of a homogeneous system of five linear equations in six unknowns are all multiples of one nonzero solution. Will the system necessarily have a solution for every possible choice of constants on the right sides of the equations? Explain.
Let V be a vector space that contains a linearly independent set
If A is a
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