Matrices: Vectors and Planes
Not what you're looking for?
1) Let v_1 = 1 v_2 = -3 and y = h.
[ 0 ] [ 8 ] [-5]
[-2 ] [ 8 ] [-3]
For what value of h is y in the plane generated by v_1 and v_2?
2) Compute the product why (a) the definitions and (b) the raw vector rule.
8 3 -4 * 1
5 1 2 * 1
* 1
3) Write the given linear system first as a vector equation and then as a matrix.
8x_1 - x_2 = 4
5x_1 + 4x_2 = 1
x_1 - 3x_2 = 2
4) Given A and B, write the augmented matrix for the linear system that corresponds to the matrix eg. Ax = b. Then solve the system and write the solution as a vector
A = 1 2 1
-3 -1 2
0 5 3
b = 0
1
-1
Purchase this Solution
Solution Summary
Matrix problems involving vectors and planes, products and Ax = b are investigated in this solution. The solution is provided in an attached Word document.
Solution Preview
1. From the condition, we know that y = av1 + bv2 for some real numbers a, b. So we get a system of equations.
(see attached)
From the last two equations, we can ...
Purchase this Solution
Free BrainMass Quizzes
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
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts