Linear Algebra Problems
Not what you're looking for?
I have two questions that I need help with.
1) How would you find a basis of the kernel, a basis of the image and determine the dimension of each for this matrix? The
matrix is in the attachment.
2) Are the following 3 vectors linearly dependent? (see attachment for the three vectors) How can you decide?
I hope you can help me. Thanks.
Purchase this Solution
Solution Summary
This response provides the solutions for the two linear algebra problems.
Solution Preview
Linear Algebra questions are indeed tricky. I have attached the solutions (see attachment) (also below, but see the attached file has the best formatting). I hope this helps in your understanding of these types of linear algebraic problems.
RESPONSE:
Problem 1:
The kernel is the vector subspace that maps into the zero vector. It
represents the number of dimensions lost in the transformation. So:
Dimension of range = dimension of domain - dimension of kernel
The rank ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.