Determine if the set of elements are linearly independent
Not what you're looking for?
The set of all 2 x 2 real matrices constitutes a real vector space. Determine whether the given set of elements is linearly independent:
[ 2 3 ] , [ -1 2 ] ,[ 1 0 ]
[ 1 1 ] [ 0 0 ] [ 0 1 ]
Purchase this Solution
Solution Summary
A step-by-step solution is provide for this problem. The student is walked through the process of determining linear independence. An example using three 2x2 matrices is given to illustrate this process.
Solution Preview
For the three 2x2 matrices to be linear independent, we need the following to be true...
(1) a*mat(2,3;1,1) + b*mat(-1,2;0,0) + c*mat(1,0;0,1) = 0 implies that a=b=c=0. (note: mat stands for matrix)
So, lets ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
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.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.